A204289 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly two different ways, and new values 0..3 introduced in row major order

738, 9747, 9747, 142107, 190347, 142107, 1429921, 4225471, 4225471, 1429921, 17355817, 69321821, 155571239, 69321821, 17355817, 221925179, 1350148902, 3531083953, 3531083953, 1350148902, 221925179, 2543715910, 27980729421

Offset

1,1

Comments

Table starts

.........738.........9747........142107.......1429921......17355817

........9747.......190347.......4225471......69321821....1350148902

......142107......4225471.....155571239....3531083953..111738717361

.....1429921.....69321821....3531083953..103672509054.5112434552746

....17355817...1350148902..111738717361.5112434552746

...221925179..27980729421.3916847292491

..2543715910.524910976410

.30734237265

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Example

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

Crossrefs

Sequence in context: A320714 A251647 A337738 * A204285 A224564 A077723

Adjacent sequences: A204286 A204287 A204288 * A204290 A204291 A204292

Keyword

nonn,tabl

Author

R. H. Hardin Jan 13 2012

Status

approved