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%I #7 Dec 11 2015 21:31:59
%S 4374,106494,2646540,66274542,1664748270,41869995708,1053631126386,
%T 26519876081106,667567685148144,16804916171955954,423043134930340686,
%U 10649666547770137380,268094963505457212522,6749037530485227993642
%N Number of (n+1) X 7 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly three counterclockwise and three clockwise edge increases.
%C Column 6 of A206150.
%H R. H. Hardin, <a href="/A206148/b206148.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 55*a(n-1) -1109*a(n-2) +11330*a(n-3) -67206*a(n-4) +247404*a(n-5) -582440*a(n-6) +881876*a(n-7) -846764*a(n-8) +499200*a(n-9) -172400*a(n-10) +33152*a(n-11) -3264*a(n-12) +128*a(n-13).
%e Some solutions for n=4:
%e ..1..2..1..2..0..1..2....2..0..1..2..0..1..2....1..0..1..2..1..2..1
%e ..0..1..0..1..2..0..1....1..2..0..1..2..0..1....2..1..2..0..2..1..0
%e ..2..0..2..0..1..2..0....2..0..1..2..1..2..0....0..2..0..2..0..2..1
%e ..1..2..0..2..0..1..2....0..2..0..1..2..0..2....1..0..1..0..1..0..2
%e ..2..0..2..1..2..0..1....1..0..2..0..1..2..1....0..1..2..1..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 04 2012