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%I #5 Jan 26 2016 07:02:11
%S 9,243,4608,83349,1339893,20699712,303284403,4320438183,59802048000,
%T 811951057125,10831783903677,142591596848064,1855468989421875,
%U 23920516469271231,305928653301448704,3886833181740400197
%N Number of nX3 0..2 arrays with every repeated value in every row not one larger and in every column one larger mod 3 than the previous repeated value, and upper left element zero.
%C Column 3 of A268092.
%H R. H. Hardin, <a href="/A268088/b268088.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 27*a(n-1) -88*a(n-2) -2949*a(n-3) +19763*a(n-4) +105684*a(n-5) -917208*a(n-6) -1283256*a(n-7) +14673312*a(n-8) +279936*a(n-9) -60466176*a(n-10)
%e Some solutions for n=4
%e ..0..1..1....0..1..0....0..1..1....0..2..2....0..0..0....0..2..2....0..0..1
%e ..1..0..2....2..0..1....2..2..1....0..2..2....0..2..0....1..2..2....0..0..2
%e ..0..2..1....1..0..1....1..0..2....1..0..0....1..2..2....1..1..0....1..1..1
%e ..0..1..1....0..2..0....1..1..2....1..2..1....2..1..0....2..2..1....2..0..0
%Y Cf. A268092.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 26 2016