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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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 07 2011
STATUS
approved

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Last modified May 18 16:47 EDT 2024. Contains 372664 sequences. (Running on oeis4.)