%I #4 Dec 04 2013 17:48:33
%S 6,225,13259,845917,54777233,3556749764,231058112982,15011638934832,
%T 975308641633714,63366149608139911,4116923504141804447,
%U 267478155043610402011,17378162265573039881347,1129066127467454727403426
%N Number of nX3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order
%C Column 3 of A233147
%H R. H. Hardin, <a href="/A233142/b233142.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 84*a(n-1) -1342*a(n-2) +7132*a(n-3) -17820*a(n-4) +24364*a(n-5) -19790*a(n-6) +9748*a(n-7) -2659*a(n-8) +272*a(n-9) +12*a(n-10) for n>11
%e Some solutions for n=3
%e ..0..0..1....0..1..0....0..1..1....0..1..1....0..1..0....0..1..1....0..1..1
%e ..0..1..1....2..1..2....2..0..3....0..2..5....1..0..0....1..2..2....2..0..1
%e ..0..1..2....2..2..1....2..4..4....4..5..1....2..0..3....1..5..2....1..1..5
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 04 2013