A204889 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..2 introduced in row major order

1864, 34925, 34925, 667323, 1604961, 667323, 12188762, 75253867, 75253867, 12188762, 225832062, 3254488094, 8701605702, 3254488094, 225832062, 4194241697, 145204264396, 903927237183, 903927237183, 145204264396

Offset

1,1

Comments

Table starts

..........1864...........34925............667323..........12188762

.........34925.........1604961..........75253867........3254488094

........667323........75253867........8701605702......903927237183

......12188762......3254488094......903927237183...214490839140374

.....225832062....145204264396....98052864809232.54207812128671655

....4194241697...6492423809138.10659390891595055

...77625757337.288337386104808

.1438033753446

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..1..2..1....0..0..1..1..1....0..0..0..0..0
..1..1..0..1..1....1..1..2..1..1....0..2..1..2..1....1..2..0..1..2
..1..1..1..0..0....1..1..1..1..1....1..1..1..1..0....1..0..1..2..1
..0..1..2..1..0....2..1..2..0..1....0..2..1..1..1....2..2..2..2..2
..2..1..0..2..0....2..1..2..0..0....2..0..1..2..0....2..1..1..1..1

Crossrefs

Sequence in context: A295995 A237257 A252137 * A204885 A231029 A265456

Adjacent sequences: A204886 A204887 A204888 * A204890 A204891 A204892

Keyword

nonn,tabl

Author

R. H. Hardin Jan 20 2012

Status

approved