A210095 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays containing all values 0..2 with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order

0, 9, 9, 90, 169, 90, 657, 2370, 2370, 657, 4230, 29650, 57232, 29650, 4230, 25533, 348621, 1318221, 1318221, 348621, 25533, 148410, 3950131, 29356228, 57786977, 29356228, 3950131, 148410, 842265, 43701168, 639141361, 2488428258, 2488428258

Offset

1,2

Comments

Table starts

......0.........9...........90.............657...............4230

......9.......169.........2370...........29650.............348621

.....90......2370........57232.........1318221...........29356228

....657.....29650......1318221........57786977.........2488428258

...4230....348621.....29356228......2488428258.......209465946364

..25533...3950131....639141361....105669469816.....17494242506253

.148410..43701168..13698519779...4440075543303...1451091848955678

.842265.475700584.290324839303.185097842285157.119700187465721716

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

Some solutions for n=4 k=3
..0..0..1..0....0..0..0..0....0..1..1..0....0..0..0..1....0..0..0..0
..0..1..1..1....0..1..0..0....0..0..0..0....2..2..0..0....0..0..0..0
..0..0..1..2....0..0..0..2....0..0..1..1....1..2..0..1....0..0..1..0
..2..0..1..1....0..0..2..2....0..0..1..0....2..2..0..0....0..0..0..0
..2..0..0..1....0..2..2..1....2..0..0..1....0..2..2..0....1..0..0..2

Crossrefs

Sequence in context: A215272 A165427 A050683 * A092548 A121389 A065242

Adjacent sequences: A210092 A210093 A210094 * A210096 A210097 A210098

Keyword

nonn,tabl

Author

R. H. Hardin Mar 17 2012

Status

approved