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%I #7 Apr 20 2021 12:27:58
%S 140552,5072,6758,30997,172192,614995,1360475,1965243,2222975,2268227,
%T 2275143,2281163,2287191,2293247,2300019,2311383,2361616,2636173,
%U 3542458,5299299,7528860,9808265,12133455,14688989,17882279,21932181,26461575
%N Number of (n+5) X 8 binary arrays with every 6 X 6 subblock commuting with each horizontal and vertical neighbor 6 X 6 subblock.
%C Column 3 of A186619.
%H R. H. Hardin, <a href="/A186613/b186613.txt">Table of n, a(n) for n = 1..87</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 > 24.
%e Some solutions for 7 X 8
%e ..0..0..0..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..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..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..1....0..0..0..0..0..0..0..0
%e ..0..0..1..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
%e ..1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
%e ..1..0..1..0..0..0..0..0....1..0..0..0..0..0..0..0....1..1..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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