%I #5 Mar 31 2012 12:37:10
%S 1768,3008,5136,11832,27400,60800,145208,346080,775944,1799656,
%T 4265112,9666256,22287416,52569856,120132224,276283624,648644008,
%U 1490750392,3426149328,8010922248,18480112640,42488361472,99015558792,228939593928
%N Number of (n+1)X4 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases
%C Column 3 of A206206
%H R. H. Hardin, <a href="/A206201/b206201.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-3) +5*a(n-4) +a(n-5) +2*a(n-8) +2*a(n-10) for n>18
%e Some solutions for n=4
%e ..0..3..1..1....0..2..1..1....3..3..1..0....0..0..2..2....1..0..0..0
%e ..0..1..1..1....0..1..1..1....3..3..3..0....0..0..1..1....0..0..0..1
%e ..1..1..1..3....1..1..1..0....1..3..3..3....0..1..1..1....0..0..1..1
%e ..1..1..2..2....1..1..2..2....2..2..3..3....0..1..1..0....0..1..1..1
%e ..1..2..2..2....1..2..2..2....2..2..2..2....0..0..0..0....0..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 04 2012