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%I #5 Mar 31 2012 12:36:05
%S 192026,12263,39757,163723,293665,328891,335737,342691,350257,364195,
%T 406729,574195,1025233,1707435,2460521,3477379,5076513,7165851,
%U 9482025,12660675,17905953,25496043,35045977,48354579,68994705,98503131
%N Number of (n+3)X7 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock
%C Column 4 of A186589
%H R. H. Hardin, <a href="/A186584/b186584.txt">Table of n, a(n) for n = 1..126</a>
%F Empirical: a(n)=2*a(n-1)-a(n-2)+2*a(n-4)-4*a(n-5)+2*a(n-6)+2*a(n-8)-2*a(n-9) for n>14
%e Some solutions for 5X7
%e ..0..0..0..0..0..2..0....0..0..0..0..0..0..2....0..0..0..0..0..0..0
%e ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..2
%e ..0..0..0..0..0..0..2....0..0..0..0..0..0..1....1..0..0..0..0..0..0
%e ..0..0..0..0..0..0..0....1..0..0..0..0..0..0....1..0..0..0..0..0..0
%e ..0..0..0..0..0..0..0....2..2..0..0..0..0..0....0..0..0..0..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 24 2011
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