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%I
%S 78654,3201,5072,25852,137138,451621,955892,1448220,1759720,1877180,
%T 1901280,1907684,1913192,1918708,1924488,1935913,1995810,2261835,
%U 3001848,4341477,6086182,7974728,9935846,12109496,14762642,18020920,21690054
%N Number of (n+5) X 7 binary arrays with every 6 X 6 subblock commuting with each horizontal and vertical neighbor 6 X 6 subblock.
%C Column 2 of A186619.
%H R. H. Hardin, <a href="/A186612/b186612.txt">Table of n, a(n) for n = 1..142</a>
%F Empirical: a(n) = a(n-1)+a(n-4)-a(n-5)+a(n-6)-a(n-7)-a(n-10)+a(n-11)+a(n-12)-a(n-16) for n>25.
%e Some solutions for 9 X 7
%e ..0..0..0..0..1..0..0....0..0..0..0..0..1..0....1..0..0..0..0..0..0
%e ..0..0..0..0..0..0..0....0..0..0..1..0..0..1....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..0
%e ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....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..0
%e ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....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..0
%e ..1..1..1..0..0..0..0....0..0..0..0..0..0..0....0..1..0..1..0..0..0
%e ..0..1..1..1..0..0..0....1..1..1..0..1..0..0....0..0..0..0..0..0..0
%Y Cf. A186619.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 24 2011
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