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%I #6 Mar 31 2012 12:36:05
%S 256,3891,60074,927477,14319230,221073168,3413126694,52694924343,
%T 813551707879,12560344087053,193917905964431,2993879307207532,
%U 46222205533558883,713620044483130375,11017509052404905567
%N Number of (n+1)X2 0..3 arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors
%C Column 1 of A186558
%H R. H. Hardin, <a href="/A186554/b186554.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=4*a(n-1)+104*a(n-2)+797*a(n-3)+3891*a(n-4)+14095*a(n-5)+40200*a(n-6)+92485*a(n-7)+171998*a(n-8)+252349*a(n-9)+268492*a(n-10)+139234*a(n-11)-161414*a(n-12)-521070*a(n-13)-687529*a(n-14)-423636*a(n-15)+253948*a(n-16)+987357*a(n-17)+1330329*a(n-18)+1183644*a(n-19)+932235*a(n-20)+994269*a(n-21)+1201760*a(n-22)+856341*a(n-23)-350728*a(n-24)-1594116*a(n-25)-1551129*a(n-26)-10297*a(n-27)+1532661*a(n-28)+1395959*a(n-29)-294208*a(n-30)-1710585*a(n-31)-1500735*a(n-32)-230622*a(n-33)+624783*a(n-34)+502770*a(n-35)+14161*a(n-36)-185750*a(n-37)-87729*a(n-38)+20841*a(n-39)+32262*a(n-40)+10922*a(n-41)+3426*a(n-42)+3024*a(n-43)+1107*a(n-44)-285*a(n-45)-255*a(n-46)-34*a(n-47)+3*a(n-48) for n>49
%e Some solutions for 3X2
%e ..2..1....3..3....0..3....1..3....3..1....2..0....1..0....0..2....1..1....3..2
%e ..0..1....2..2....0..0....2..1....0..1....3..2....1..3....0..3....1..3....3..2
%e ..3..2....0..2....2..0....1..1....2..0....2..0....3..0....2..2....3..2....0..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 23 2011
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