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%I #5 Mar 31 2012 12:36:05
%S 42120,3455,5813,19248,54040,90664,98376,99820,101072,102332,103620,
%T 105172,108332,117492,152956,244561,344142,446775,556660,694109,
%U 888987,1093393,1304011,1531041,1821099,2260191,2808392,3465438,4248781,5232601
%N Number of (n+4)X8 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock
%C Column 4 of A186609
%H R. H. Hardin, <a href="/A186604/b186604.txt">Table of n, a(n) for n = 1..117</a>
%F Empirical: a(n)=a(n-1)+a(n-3)-a(n-4)+a(n-5)-a(n-6)-a(n-8)+a(n-9)+a(n-10)-a(n-13) for n>18
%e Some solutions for 6X8
%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0
%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..1....0..0..0..0..0..0..1..1
%e ..0..0..0..0..0..0..1..1....1..0..0..0..0..0..1..1....1..0..0..0..0..0..1..1
%e ..1..1..0..0..0..0..0..0....1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0
%e ..1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
%e ..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 24 2011