%I #7 Oct 09 2015 04:25:14
%S 256,12296,511632,41013960,7578064080,2994560119488,2904705131186012
%N Number of (n+1)X(n+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.
%C Diagonal of A205659.
%e Some solutions for n=4:
%e ..0..2..2..2..0....1..1..2..2..3....0..0..2..0..1....2..3..3..3..0
%e ..0..1..2..3..3....3..2..1..0..3....2..0..2..0..1....3..2..1..0..1
%e ..0..2..0..1..0....1..2..1..2..3....3..2..3..1..3....3..2..3..0..1
%e ..2..1..0..2..1....1..0..3..2..0....3..2..3..1..3....1..0..3..1..0
%e ..2..2..0..1..1....2..0..0..2..3....0..3..0..2..0....1..1..3..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 30 2012