A204492 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order

72, 214, 214, 610, 511, 610, 1690, 1189, 1189, 1690, 4664, 2627, 2547, 2627, 4664, 12809, 5804, 5407, 5407, 5804, 12809, 35172, 12861, 11331, 11137, 11331, 12861, 35172, 96615, 28743, 23851, 22341, 22341, 23851, 28743, 96615, 265372, 64707

Offset

1,1

Comments

Table starts

....72...214....610...1690...4664..12809...35172...96615..265372..728983

...214...511...1189...2627...5804..12861...28743...64707..146082..330644

...610..1189...2547...5407..11331..23851...50897..109489..236402..512911

..1690..2627...5407..11137..22341..44712...90942..187020..388236..811400

..4664..5804..11331..22341..43620..85756..168567..334451..672081.1366044

.12809.12861..23851..44712..85756.169432..331723..640841.1254717.2491262

.35172.28743..50897..90942.168567.331723..658793.1277695.2455575.4765823

.96615.64707.109489.187020.334451.640841.1277695.2543298.4935462.9446849

Links

R. H. Hardin, Table of n, a(n) for n = 1..449

Example

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

Crossrefs

Sequence in context: A302886 A235186 A235179 * A204485 A358514 A344179

Adjacent sequences: A204489 A204490 A204491 * A204493 A204494 A204495

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2012

Status

approved