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%I #4 Feb 12 2014 07:38:02
%S 3720,105639,1659924,38387146,639694176,13279334007,226316321580,
%T 4405469041518,75639307776048,1412509368887850,24269633489414040,
%U 440509206404382732,7551731737591713408,134301252331626465687
%N Number of (n+2)X(3+2) 0..1 arrays with the (lower) median of each row and column nondecreasing
%C Column 3 of A237738
%H R. H. Hardin, <a href="/A237736/b237736.txt">Table of n, a(n) for n = 1..20</a>
%e Some solutions for n=2
%e ..0..0..1..0..1....0..0..0..0..0....0..0..0..1..1....0..0..1..0..1
%e ..0..0..1..1..0....0..1..0..0..1....0..0..1..0..0....0..0..1..0..1
%e ..0..0..0..1..0....0..1..0..0..1....0..0..0..0..0....0..0..0..1..0
%e ..0..1..0..0..0....1..0..1..0..1....1..1..1..1..1....1..1..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 12 2014