%I #4 Jan 19 2016 20:13:37
%S 6,36,102,270,546,1080,1866,3186,5010,7830,11550,17004,23934,33726,
%T 45786,62364,82254,109008,140406,181890,229674,291852,362346,452862,
%U 554106,682578,824622,1002960,1198182,1440930,1704378,2029080,2378838,2806428
%N Number of nX3 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.
%C Column 3 of A267719.
%H R. H. Hardin, <a href="/A267714/b267714.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +4*a(n-2) -10*a(n-3) -5*a(n-4) +20*a(n-5) -20*a(n-7) +5*a(n-8) +10*a(n-9) -4*a(n-10) -2*a(n-11) +a(n-12)
%e Some solutions for n=5
%e ..0..1..1....0..1..1....0..0..1....1..1..0....1..0..0....1..0..0....1..0..0
%e ..1..0..0....1..0..0....0..1..0....0..0..1....1..0..1....0..1..1....0..1..1
%e ..0..1..1....1..1..0....1..0..1....0..1..0....0..1..1....1..0..0....1..0..1
%e ..1..0..1....0..0..1....0..1..1....1..0..1....1..1..0....0..1..0....0..1..0
%e ..0..1..0....1..1..0....1..1..0....1..1..0....0..0..1....0..0..1....0..1..1
%Y Cf. A267719.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 19 2016