

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 nwtose diagonally exactly one way, and new values 0..1 introduced in row major order


9



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
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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 A344179 A050498
Adjacent sequences: A204489 A204490 A204491 * A204493 A204494 A204495


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Jan 15 2012


STATUS

approved



