A183819 T(n,k)=1/81 the number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor

1, 8, 8, 64, 162, 64, 512, 3256, 3256, 512, 4096, 65640, 163208, 65640, 4096, 32768, 1321860, 8231592, 8231592, 1321860, 32768, 262144, 26630220, 414246824, 1042063656, 414246824, 26630220, 262144, 2097152, 536415300, 20864057480

Offset

1,2

Comments

Table starts

.........1.............8...............64................512

.........8...........162.............3256..............65640

........64..........3256...........163208............8231592

.......512.........65640..........8231592.........1042063656

......4096.......1321860........414246824.......131467169720

.....32768......26630220......20864057480.....16607782066704

....262144.....536415300....1050517114472...2096961683069192

...2097152...10805642100...52900274426120.264820293988996048

..16777216..217666494900.2663752907479720

.134217728.4384657426500

Links

R. H. Hardin, Table of n, a(n) for n = 1..70

Example

Some solutions with upper left block zero for 4X3
..0..0..0....0..0..1....0..0..1....0..0..1....0..0..0....0..0..1....0..0..1
..0..0..2....0..0..0....0..0..2....0..0..1....0..0..1....0..0..0....0..0..1
..1..0..1....0..2..1....1..2..0....1..1..0....2..1..1....2..1..0....1..1..2
..2..1..1....1..2..2....1..1..0....0..1..1....0..2..0....0..2..2....2..0..2

Crossrefs

Column 1 is A001018(n-1)

Sequence in context: A222957 A038286 A245133 * A215271 A202916 A165426

Adjacent sequences: A183816 A183817 A183818 * A183820 A183821 A183822

Keyword

nonn,tabl

Author

R. H. Hardin Jan 07 2011

Status

approved