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%I #4 Feb 17 2014 07:17:13
%S 212,12722,38612,2176212,8433752,428504162,1974653492,90867483692,
%T 477384762152,20149024306412,117424769300792,4601622865485272,
%U 29186739200360912,1072964431850750882,7304093149598867252
%N Number of (n+2)X(3+2) 0..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors
%C Column 3 of A238026
%H R. H. Hardin, <a href="/A238023/b238023.txt">Table of n, a(n) for n = 1..20</a>
%e Some solutions for n=3
%e ..1..0..0..1..0....1..1..0..1..1....0..0..1..0..1....1..1..0..1..1
%e ..1..1..1..0..1....0..0..0..0..1....0..1..1..1..0....0..0..1..1..0
%e ..0..1..0..1..0....1..1..1..0..1....1..0..0..0..0....1..1..1..0..1
%e ..1..1..1..1..1....0..0..1..1..0....0..1..0..1..1....1..0..1..0..0
%e ..0..0..1..0..1....1..1..1..1..1....1..0..0..0..0....0..1..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 17 2014