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

Author

R. H. Hardin Jan 07 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A001018(n-1)