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%I #4 Jul 05 2012 06:14:44
%S 40,40434,47730973,56449101747,66761857485037,78958797573536880,
%T 93384051705843287887,110444707138200962659230,
%U 130622232997959101383691845,154486060939324697852637264771
%N Number of 0..4 colorings on an nX6 array circular in the 6 direction with new values 0..4 introduced in row major order
%C Column 5 of A214141
%H R. H. Hardin, <a href="/A214138/b214138.txt">Table of n, a(n) for n = 1..154</a>
%F Empirical: a(n) = 1343*a(n-1) -193139*a(n-2) +4182587*a(n-3) +13484773*a(n-4) -1046489341*a(n-5) +9211083518*a(n-6) -31222203012*a(n-7) +47496470136*a(n-8) -30991236576*a(n-9) +6534899712*a(n-10)
%e Some solutions for n=4
%e ..0..1..2..0..1..2....0..1..0..2..3..4....0..1..0..1..0..1....0..1..2..3..0..1
%e ..2..0..3..2..3..0....4..3..2..1..4..3....2..0..1..0..3..4....3..0..1..2..4..2
%e ..1..2..0..3..4..3....0..4..0..4..0..2....3..4..0..3..0..1....4..1..2..3..0..3
%e ..2..3..2..4..1..0....1..0..1..3..1..0....4..2..4..0..1..2....1..4..3..4..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 05 2012
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