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%I #4 Jul 05 2012 21:29:41
%S 41,121778,655418810,3598372134742,19767477649307133,
%T 108593596081040129576,596564503952723786971771,
%U 3277257831775251397259797443,18003784721017105359528889265663
%N Number of 0..5 colorings of an nX6 array circular in the 6 direction with new values 0..5 introduced in row major order
%C Column 5 of A214166
%H R. H. Hardin, <a href="/A214163/b214163.txt">Table of n, a(n) for n = 1..68</a>
%F Empirical: a(n) = 6132*a(n-1) -3622685*a(n-2) +639575585*a(n-3) -32725270678*a(n-4) -553035058681*a(n-5) +76503305094012*a(n-6) -1866677899327574*a(n-7) +18043405701458099*a(n-8) -65572684928670422*a(n-9) +19819882367968339*a(n-10) +446791452135464749*a(n-11) -1165335596737363580*a(n-12) +1235162915085727931*a(n-13) -587321247683006226*a(n-14) +100202633777025000*a(n-15)
%e Some solutions for n=4
%e ..0..1..0..2..0..2....0..1..0..1..0..1....0..1..0..1..0..1....0..1..2..0..1..2
%e ..1..2..1..0..1..0....1..0..1..2..3..2....1..2..3..4..5..2....3..4..3..4..3..4
%e ..2..0..2..1..0..1....0..1..0..3..0..1....2..1..2..0..1..3....0..5..1..3..4..5
%e ..0..3..1..2..1..2....1..0..1..4..3..2....3..4..1..5..0..5....1..0..2..5..3..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 05 2012