%I #4 Jul 04 2012 06:21:22
%S 27,8,771,1080,29540,79968,1241355,4807928,54733587,263068168,
%T 2491174972,13706830176,115900489291,694854606408,5473717429995,
%U 34661887488856,261125940394148,1712290280769888,12540109248690731,84080392667812248
%N Number of 0..2 colorings of a 4X(n+1) array circular in the n+1 direction with new values 0..2 introduced in row major order
%C Row 4 of A214101
%H R. H. Hardin, <a href="/A214103/b214103.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +26*a(n-2) -304*a(n-3) +304*a(n-4) +2016*a(n-5) -3991*a(n-6) -2616*a(n-7) +9702*a(n-8) -2064*a(n-9) -6120*a(n-10) +2880*a(n-11)
%e Some solutions for n=4
%e ..0..1..0..1..2....0..1..2..1..2....0..1..0..1..2....0..1..0..1..2
%e ..1..2..1..2..0....1..2..0..2..0....1..2..1..2..0....1..2..1..2..0
%e ..2..0..2..0..1....2..1..2..0..1....2..0..2..0..1....0..1..0..1..2
%e ..0..2..0..1..2....0..2..0..1..2....1..2..0..2..0....1..0..1..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 04 2012