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1/32 the number of (n+1) X 7 binary arrays with equal numbers of 2 X 2 subblocks with sum mod two being 0 and 1.
1

%I #7 Jan 14 2017 09:38:39

%S 160,14784,1555840,173065984,19855042560,2323234636800,

%T 275588031713280,33021546171494400,3987331943727333376,

%U 484411726089672392704,59141557731461248942080,7250125459895693790478336

%N 1/32 the number of (n+1) X 7 binary arrays with equal numbers of 2 X 2 subblocks with sum mod two being 0 and 1.

%C Column 6 of A183772.

%H R. H. Hardin, <a href="/A183769/b183769.txt">Table of n, a(n) for n = 1..75</a>

%e Some solutions for 3 X 7:

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2011