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Half the number of (n+1) X 5 binary arrays with equal numbers of majority one 2 X 2 subblocks and majority zero 2 X 2 subblocks.
3

%I #11 Dec 14 2014 16:23:33

%S 91,1693,42874,1181303,33787978,986306398,29202473260,873679701315,

%T 26348265181700,799618906955872,24390561043319626,747104810403124190,

%U 22965144760897452728,708038892975800125716,21885932074900784746650

%N Half the number of (n+1) X 5 binary arrays with equal numbers of majority one 2 X 2 subblocks and majority zero 2 X 2 subblocks.

%C Column 4 of A184467.

%H R. H. Hardin, <a href="/A184462/b184462.txt">Table of n, a(n) for n = 1..187</a>

%e Some solutions for 3 X 5:

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

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

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

%e ...

%e ...E..P..M..M.......P..P..E..M.......M..M..E..M.......M..M..P..P...

%e ...E..P..E..E.......E..M..E..E.......P..P..P..E.......M..M..P..P...

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 15 2011