A204408 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally

4293, 47883, 47883, 719125, 347247, 719125, 6579664, 3588983, 3588983, 6579664, 70193731, 45603178, 18913491, 45603178, 70193731, 852798050, 518498299, 316877238, 316877238, 518498299, 852798050, 8916413698, 5787193185

Offset

1,1

Comments

Table starts

........4293........47883........719125........6579664........70193731

.......47883.......347247.......3588983.......45603178.......518498299

......719125......3588983......18913491......316877238......3226550173

.....6579664.....45603178.....316877238.....2085204465.....23029550325

....70193731....518498299....3226550173....23029550325....218058070601

...852798050...5787193185...30090522927...415155518470...2236958307511

..8916413698..70339685822..390091281543..3295136296152..24512116048486

.96129489898.814228386252.3739587364093.32134688161335.287545807301142

Links

R. H. Hardin, Table of n, a(n) for n = 1..391

Example

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

Crossrefs

Sequence in context: A252555 A359304 A233888 * A204401 A204400 A271104

Adjacent sequences: A204405 A204406 A204407 * A204409 A204410 A204411

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2012

Status

approved