A204945 T(n,k) = Number of (n+2) X (k+2) 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..2 introduced in row major order.

1300, 16032, 16032, 196710, 328910, 196710, 2341863, 6907192, 6907192, 2341863, 28256807, 135480703, 251120928, 135480703, 28256807, 342322560, 2795434368, 8198499322, 8198499322, 2795434368, 342322560, 4121107117, 58695095028

Offset

1,1

Comments

Table starts

........1300.........16032.........196710........2341863.......28256807

.......16032........328910........6907192......135480703.....2795434368

......196710.......6907192......251120928.....8198499322...294418611660

.....2341863.....135480703.....8198499322...391330634142.22275992948325

....28256807....2795434368...294418611660.22275992948325

...342322560...58695095028.10877410840441

..4121107117.1207470043135

.49687384433

Links

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

Example

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

Crossrefs

Sequence in context: A031534 A252468 A135125 * A204941 A022057 A107521

Adjacent sequences: A204942 A204943 A204944 * A204946 A204947 A204948

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 20 2012

Status

approved