A187425 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants.

0, 175, 175, 609, 1969, 609, 3593, 6512, 6512, 3593, 15055, 44512, 46764, 44512, 15055, 76263, 319792, 602024, 602024, 319792, 76263, 353985, 2142214, 5254072, 10014852, 5254072, 2142214, 353985, 1729733, 13328138, 56472058, 139898890

Offset: 1

Author

R. H. Hardin Mar 09 2011

Keywords

• nonn
• tabl

Comments

Table starts

........0.......175........609........3593.......15055.......76263......353985

......175......1969.......6512.......44512......319792.....2142214....13328138

......609......6512......46764......602024.....5254072....56472058...533853394

.....3593.....44512.....602024....10014852...139898890..2183222530.33876667824

....15055....319792....5254072...139898890..2868461180.72355701549

....76263...2142214...56472058..2183222530.72355701549

...353985..13328138..533853394.33876667824

..1729733..88129302.5585054046

..8225815.580578920

.39664199

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..59

Crossrefs

Column 1 is A186211