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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

%I

%S 1,8,8,64,162,64,512,3256,3256,512,4096,65640,163208,65640,4096,32768,

%T 1321860,8231592,8231592,1321860,32768,262144,26630220,414246824,

%U 1042063656,414246824,26630220,262144,2097152,536415300,20864057480

%N 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

%C Table starts

%C .........1.............8...............64................512

%C .........8...........162.............3256..............65640

%C ........64..........3256...........163208............8231592

%C .......512.........65640..........8231592.........1042063656

%C ......4096.......1321860........414246824.......131467169720

%C .....32768......26630220......20864057480.....16607782066704

%C ....262144.....536415300....1050517114472...2096961683069192

%C ...2097152...10805642100...52900274426120.264820293988996048

%C ..16777216..217666494900.2663752907479720

%C .134217728.4384657426500

%H R. H. Hardin, <a href="/A183819/b183819.txt">Table of n, a(n) for n = 1..70</a>

%e Some solutions with upper left block zero for 4X3

%e ..0..0..0....0..0..1....0..0..1....0..0..1....0..0..0....0..0..1....0..0..1

%e ..0..0..2....0..0..0....0..0..2....0..0..1....0..0..1....0..0..0....0..0..1

%e ..1..0..1....0..2..1....1..2..0....1..1..0....2..1..1....2..1..0....1..1..2

%e ..2..1..1....1..2..2....1..1..0....0..1..1....0..2..0....0..2..2....2..0..2

%Y Column 1 is A001018(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 07 2011

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Last modified October 22 04:25 EDT 2019. Contains 328315 sequences. (Running on oeis4.)