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%I #6 Dec 10 2015 02:01:51
%S 1285076,47118720,1912957100,90234357280,4762415402596,273204243466080
%N Number of (n+1) X 6 0..3 arrays with no 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors or the same number of counterclockwise edge increases as its vertical neighbors.
%C Column 5 of A205954.
%e Some solutions for n=4:
%e ..1..3..1..0..0..3....2..2..2..2..3..2....0..2..0..3..0..2....2..2..1..2..0..0
%e ..0..3..3..1..2..0....2..0..3..2..1..1....0..3..3..2..1..2....1..0..0..2..0..0
%e ..2..0..2..1..1..0....2..3..0..0..2..1....0..1..0..1..2..2....3..2..2..3..3..1
%e ..1..0..0..2..3..1....0..3..0..0..0..3....2..1..3..2..2..2....3..2..2..0..0..2
%e ..2..1..3..3..3..2....0..1..2..0..0..3....3..0..0..2..2..1....0..3..3..1..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 02 2012
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