A186218 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

0, 175, 175, 609, 1969, 609, 3593, 18873, 18873, 3593, 15055, 197619, 308593, 197619, 15055, 76263, 2008031, 6275745, 6275745, 2008031, 76263, 353985, 20738153, 116461359, 255375977, 116461359, 20738153, 353985, 1729733, 213108423

Offset: 1

Author

R. H. Hardin Feb 15 2011

Keywords

• nonn
• tabl

Comments

Table starts

........0.........175..........609...........3593..........15055..........76263

......175........1969........18873.........197619........2008031.......20738153

......609.......18873.......308593........6275745......116461359.....2259545215

.....3593......197619......6275745......255375977.....9406230423...363322785761

....15055.....2008031....116461359.....9406230423...660028898887.49524283508081

....76263....20738153...2259545215...363322785761.49524283508081

...353985...213108423..43035959317.13767728347159

..1729733..2194753479.826432933951

..8225815.22587046821

.39664199

Examples

			Some solutions for 4X3
..1..0..0....0..0..1....2..2..2....2..0..2....2..2..2....1..2..0....1..2..1
..1..0..1....2..0..2....2..1..0....0..0..1....1..1..1....0..0..0....0..0..0
..2..0..1....1..0..0....0..0..0....0..0..2....1..1..1....2..2..2....0..1..2
..0..0..1....0..0..0....2..0..1....1..0..0....2..1..0....0..0..0....0..1..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60