%I #9 Jun 06 2014 02:30:42
%S 109824,5134924800,275588031713280,15664518350357381120,
%T 919029987874102029778944,55014538812191247245224181760,
%U 3339401594009138875954682737459200
%N 1/32 the number of (2n+1) X 8 binary arrays with equal numbers of 2 X 2 subblocks with sum mod two being 0 and 1.
%C Column 7 of A183772(2n).
%H R. H. Hardin, <a href="/A183770/b183770.txt">Table of n, a(n) for n = 1..24</a>
%e Some solutions for 3 X 8:
%e ..0..0..0..0..0..1..0..0....0..0..0..0..0..1..0..1....0..0..0..0..0..0..1..1
%e ..1..0..1..0..0..1..0..1....0..0..0..0..0..0..0..0....1..0..1..1..0..1..1..1
%e ..1..0..1..0..1..0..0..0....1..0..1..1..1..0..1..1....0..1..1..1..0..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2011
