A204530 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 or nw-to-se diagonally, and new values 0..3 introduced in row major order

4110, 145760, 145760, 5541588, 15713085, 5541588, 179863061, 1803801730, 1803801730, 179863061, 6251895139, 161070061826, 632384263840, 161070061826, 6251895139, 219672303729, 16182427177333, 165807303413449, 165807303413449

Offset

1,1

Comments

Table starts

............4110.............145760..............5541588............179863061

..........145760...........15713085...........1803801730.........161070061826

.........5541588.........1803801730.........632384263840......165807303413449

.......179863061.......161070061826......165807303413449...103411902419816494

......6251895139.....16182427177333....49964602491825575.81688563484381114374

....219672303729...1639434747658238.15174704802823958526

...7527325628251.159950005645169941

.260515164220350

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Example

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

Crossrefs

Sequence in context: A255158 A077188 A077190 * A204526 A206342 A031828

Adjacent sequences: A204527 A204528 A204529 * A204531 A204532 A204533

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2012

Status

approved