%I #5 Mar 31 2012 12:35:54

%S 1,15,15,225,813,225,3375,43947,43947,3375,50625,2377341,8538066,

%T 2377341,50625,759375,128578815,1661285961,1661285961,128578815,

%U 759375,11390625,6954559893,323115202755,1163575148283,323115202755,6954559893,11390625

%N T(n,k)=1/256 the number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor

%C Table starts

%C ...........1...............15.................225..................3375

%C ..........15..............813...............43947...............2377341

%C .........225............43947.............8538066............1661285961

%C ........3375..........2377341..........1661285961.........1163575148283

%C .......50625........128578815........323115202755.......814479338538099

%C ......759375.......6954559893......62851591581012....570213177028325955

%C ....11390625.....376152548283...12225396762980829.399185865558804067443

%C ...170859375...20345104031589.2378005715920214025

%C ..2562890625.1100412240703119

%C .38443359375

%H R. H. Hardin, <a href="/A183827/b183827.txt">Table of n, a(n) for n = 1..60</a>

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

%e ..0..0..0....0..0..3....0..0..2....0..0..2....0..0..0....0..0..1....0..0..1

%e ..0..0..1....0..0..3....0..0..2....0..0..1....0..0..2....0..0..3....0..0..1

%e ..1..0..3....1..2..0....0..3..2....2..1..1....2..2..0....2..3..0....1..0..3

%e ..3..3..0....2..2..2....0..2..3....3..1..1....1..3..3....2..2..1....1..0..0

%Y Column 1 is A001024(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 07 2011