%I #4 Dec 08 2012 17:13:13
%S 4,35,243,1875,15150,115776,903439,7005461,54249716,420545092,
%T 3257486504,25234938173,195482980668,1514241800363,11729682534441,
%U 90860069201775,703816232110196,5451868968128240,42230976869002531,327127333101076004
%N Majority value maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and vertical neighbors in a random 0..2 nX3 array
%C Column 3 of A220259
%H R. H. Hardin, <a href="/A220256/b220256.txt">Table of n, a(n) for n = 1..142</a>
%e Some solutions for n=3
%e ..1..0..0....1..0..0....0..1..1....1..0..0....1..0..1....0..1..1....1..0..1
%e ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....1..1..1....1..1..0
%e ..0..0..1....0..0..0....0..0..0....1..0..1....0..0..0....1..0..0....1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 08 2012