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Number of (n+1)X5 0..2 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases
1

%I #5 Mar 31 2012 12:37:14

%S 1416,1182,1272,2244,3408,4836,9144,13950,19752,36912,55944,79032,

%T 147648,223776,316128,590592,895104,1264512,2362368,3580416,5058048,

%U 9449472,14321664,20232192,37797888,57286656,80928768,151191552,229146624

%N Number of (n+1)X5 0..2 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases

%C Column 4 of A207050

%H R. H. Hardin, <a href="/A207046/b207046.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-3) for n>12

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 14 2012