A204655 T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..3 introduced in row major order.

4600, 162622, 162622, 6255285, 17432664, 6255285, 215282843, 2025234324, 2025234324, 215282843, 7670500426, 191371916425, 719028603457, 191371916425, 7670500426, 276834777101, 19644326343062, 199026930961817, 199026930961817

Offset

1,1

Comments

Table starts

.........4600.........162622.........6255285.......215282843........7670500426

.......162622.......17432664......2025234324....191371916425....19644326343062

......6255285.....2025234324....719028603457.199026930961817.61221086708065061

....215282843...191371916425.199026930961817

...7670500426.19644326343062

.276834777101

Links

R. H. Hardin, Table of n, a(n) for n = 1..24

Example

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

Crossrefs

Sequence in context: A251385 A185470 A004537 * A204652 A032745 A020437

Adjacent sequences: A204652 A204653 A204654 * A204656 A204657 A204658

Keyword

nonn,tabl

Author

R. H. Hardin Jan 17 2012

Status

approved