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%I #5 Mar 31 2012 12:36:05
%S 1728546,79015,149305,328891,626233,811795,823249,841075,880969,
%T 1019683,1221265,1504507,2353993,3537235,4869121,7110411,10563977,
%U 14962483,20061441,27545691,39153465,55017603,74946417,104128395,148464553
%N Number of (n+3)X9 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock
%C Column 6 of A186589
%H R. H. Hardin, <a href="/A186586/b186586.txt">Table of n, a(n) for n = 1..78</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>16
%e Some solutions for 5X9
%e ..0..0..0..0..0..0..0..2..0....0..0..0..0..0..0..2..0..1
%e ..0..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0..2
%e ..2..0..0..0..0..0..0..0..2....1..0..0..0..0..0..0..0..0
%e ..1..0..0..0..0..0..0..0..0....0..1..0..0..0..0..0..0..0
%e ..1..1..0..0..0..0..0..0..0....2..0..1..0..0..0..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 24 2011