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Number of (n+1) X 5 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.
1

%I #7 Dec 10 2015 02:02:16

%S 151824,3825072,101702648,2938041784,90234357280,2915195222352,

%T 97376756715048,3323115063194944,114956621013901728,

%U 4009974857113714304,140592681593832370928,4944437367755630155480,174211885766255474821936

%N Number of (n+1) X 5 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 4 of A205954.

%H R. H. Hardin, <a href="/A205951/b205951.txt">Table of n, a(n) for n = 1..172</a>

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 02 2012