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%I #4 Jul 08 2012 07:47:18
%S 4,18,354,7749,231799,8178855,318511707,13046748480,547969772934,
%T 23296216625352,996235422019600,42723792981743991,1834737810552367569,
%U 78843837462576032709,3389239985131275364833,145715407979704223557482
%N Number of 0..7 colorings of a 2X(n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order
%C Row 2 of A214238
%H R. H. Hardin, <a href="/A214240/b214240.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 66*a(n-1) -867*a(n-2) -8354*a(n-3) +120414*a(n-4) +672756*a(n-5) -3902534*a(n-6) -24478884*a(n-7) +5777547*a(n-8) +189931178*a(n-9) +205081401*a(n-10) -166116762*a(n-11) -207075960*a(n-12)
%e Some solutions for n=4
%e ..0..1..0..1..2....0..1..0..1..2....0..1..0..1..2....0..1..0..1..2
%e ..1..2..1..2..0....2..3..1..0..1....1..0..1..0..3....1..2..3..0..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 08 2012
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