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%I #11 Feb 07 2018 14:35:26
%S 1417,243,486,1421,3013,3765,4041,4285,4537,4817,5317,6393,9606,13599,
%T 18088,23397,31095,39853,49607,61257,78509,100814,128604,163599,
%U 211894,274000,351345,447545,574297,737165,943062,1202809,1541403,1978219
%N Number of (n+3) X 6 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.
%C Column 3 of A188105.
%H R. H. Hardin, <a href="/A188099/b188099.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-1)-a(n-2)+a(n-4)-2*a(n-5)+a(n-6)+a(n-8)-a(n-9) for n>13.
%F Empirical g.f.: x*(1417 - 2591*x + 1417*x^2 + 692*x^3 - 760*x^4 + 1751*x^5 - 1893*x^6 - 724*x^7 - 2066*x^8 + 2042*x^9 + 453*x^10 - 327*x^11 + 537*x^12) / ((1 - x)*(1 - x - x^4 + x^5 - x^8)). - _Colin Barker_, Feb 07 2018
%e Some solutions for 5 X 6:
%e ..0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..0..1....0..0..0..0..0..0
%e ..0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..1..0....0..0..0..0..0..0
%e ..0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..0....1..0..0..0..0..0
%e ..0..0..0..0..0..0....1..0..0..0..0..1....0..0..0..0..0..0....0..1..0..0..0..0
%e ..0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..0....0..1..1..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 20 2011
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