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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 15 20:50 EDT 2019. Contains 324145 sequences. (Running on oeis4.)