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%I #7 Dec 27 2023 22:34:06
%S 7,35,244,1693,12324,89908,667600,5002165,37777626,286971238,
%T 2190689600,16790412468,129127710164,995937115474,7700689112570,
%U 59672216385587,463283019198236,3602944011508868,28062509230063226,218870000234417062
%N Half the number of (n+1) X 3 binary arrays with equal numbers of majority one 2 X 2 subblocks and majority zero 2 X 2 subblocks.
%C Column 2 of A184467.
%H R. H. Hardin, <a href="/A184460/b184460.txt">Table of n, a(n) for n = 1..200</a>
%e Some solutions for 5 X 3
%e ..0..1..1....0..0..1....0..0..0....0..1..1....0..0..0....0..1..1....0..0..0
%e ..0..1..1....0..1..0....1..1..0....0..1..0....0..1..1....0..0..0....0..1..0
%e ..0..1..1....1..1..0....1..0..0....0..0..0....1..0..1....1..1..1....1..0..1
%e ..0..0..0....0..1..0....1..1..1....1..1..1....0..0..1....0..1..0....1..1..0
%e ..0..1..1....0..0..1....0..0..0....1..0..0....1..1..1....0..0..1....1..1..0
%e ...
%e ...E..P.......M..E.......E..M.......E..P.......M..E.......M..E.......M..M...
%e ...E..P.......P..E.......P..M.......M..M.......E..P.......E..E.......E..E...
%e ...M..E.......P..E.......P..E.......E..E.......M..E.......P..P.......P..E...
%e ...M..E.......M..E.......E..E.......P..E.......E..P.......M..E.......P..E...
%Y Cf. A184467.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 15 2011
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