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Number of (n+3)X11 binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock
1

%I #5 Mar 31 2012 12:36:10

%S 20888,3110,4285,6253,9265,11245,12477,14853,17589,20717,24669,30593,

%T 40709,52461,66065,83805,108473,140714,178759,226864,292013,376487,

%U 480369,612051,785445,1010405,1292818,1651136,2116315,2717534,3480088

%N Number of (n+3)X11 binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

%C Column 8 of A188105

%H R. H. Hardin, <a href="/A188104/b188104.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>18

%e Some solutions for 5X11

%e ..0..0..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..0..0..1

%e ..0..0..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..0..1..1

%e ..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..1..0..0..0..0..0..0..0..0..0

%e ..0..1..0..0..0..0..0..0..0..0..0....0..1..0..0..0..0..0..0..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 20 2011