%I #4 Jul 07 2012 06:57:30

%S 4,353,147943,96673866,68272896836,48807260151073,34958661918205401,

%T 25047104071770605888,17946563397124532921734,

%U 12859036484490635332784967,9213742993368664938803040203,6601822515414603719492440676662

%N Number of 0..6 colorings of an nX4 array circular in the 4 direction with new values 0..6 introduced in row major order

%C Column 3 of A214187

%H R. H. Hardin, <a href="/A214182/b214182.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 902*a(n-1) -142783*a(n-2) +7297504*a(n-3) -157308287*a(n-4) +1529846974*a(n-5) -7002462289*a(n-6) +14489273756*a(n-7) -12535263856*a(n-8) +3668758080*a(n-9)

%e Some solutions for n=4

%e ..0..1..2..3....0..1..0..1....0..1..2..1....0..1..2..1....0..1..0..1

%e ..1..3..1..4....1..0..1..2....1..0..3..4....2..3..4..5....1..0..2..0

%e ..3..1..0..5....0..1..0..1....0..1..2..5....1..2..3..4....2..1..3..1

%e ..5..2..3..4....3..4..5..4....6..0..1..4....5..4..0..6....4..2..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 07 2012