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%I #5 Feb 12 2014 07:26:07
%S 3792,54984,1029888,15953344,274387488,4405125168,72614463072,
%T 1191889517856,19168682511648,319420828979856,5057452566770208,
%U 85201863532616544,1334977464991925280,22675972581579592704
%N Number of (n+2)X(1+2) 0..2 arrays with the (lower) medians of each row and column unequal to its neighbors
%C Column 1 of A237733
%H R. H. Hardin, <a href="/A237731/b237731.txt">Table of n, a(n) for n = 1..16</a>
%e Some solutions for n=2
%e ..2..0..1....2..1..0....2..0..2....2..2..2....0..2..0....0..2..0....2..2..2
%e ..2..1..2....0..1..0....0..1..0....2..1..0....2..1..0....0..1..2....2..0..0
%e ..1..2..1....2..0..2....1..2..0....2..2..0....0..0..0....1..2..2....1..2..2
%e ..2..0..0....0..1..1....0..2..2....0..1..1....0..1..2....0..0..2....2..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 12 2014