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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A186211

Sequence in context: A224433 A213866 A252717 * A186218 A245035 A102538

Adjacent sequences: A187422 A187423 A187424 * A187426 A187427 A187428

Keyword

nonn,tabl

Author

R. H. Hardin Mar 09 2011

Status

approved