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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..1 nX3 array
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%I #4 Dec 03 2012 19:24:58

%S 4,19,134,878,5609,36011,231343,1483999,9515200,60996453,390995240,

%T 2506299034,16065358056,102978135046,660082481027,4231075253651,

%U 27120831228945,173842158021918,1114312870464367,7142646492038739

%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..1 nX3 array

%C Column 3 of A220070

%H R. H. Hardin, <a href="/A220066/b220066.txt">Table of n, a(n) for n = 1..74</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 03 2012