%I #4 Jul 07 2012 07:06:42
%S 4,18,353,7434,198052,5731144,172707247,5290686318,163203090770,
%T 5048858758020,156379568912461,4846014558069802,150203703987575008,
%U 4656019290676790496,144332757507860933195,4474265565293272517286
%N Number of 0..6 colorings of a 2X(n+1) array circular in the n+1 direction with new values 0..6 introduced in row major order
%C Row 2 of A214187
%H R. H. Hardin, <a href="/A214189/b214189.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 39*a(n-1) -133*a(n-2) -3905*a(n-3) +6437*a(n-4) +125497*a(n-5) +83961*a(n-6) -931595*a(n-7) -1308936*a(n-8) +809964*a(n-9) +1218672*a(n-10)
%e Some solutions for n=4
%e ..0..1..2..3..1....0..1..0..1..2....0..1..2..0..1....0..1..2..0..1
%e ..2..3..0..1..0....2..3..1..0..1....3..4..5..3..6....1..2..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 07 2012