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A214182 Number of 0..6 colorings of an nX4 array circular in the 4 direction with new values 0..6 introduced in row major order.

%I A214182 #6 Jul 22 2025 23:11:55
%S A214182 4,353,147943,96673866,68272896836,48807260151073,34958661918205401,
%T A214182 25047104071770605888,17946563397124532921734,
%U A214182 12859036484490635332784967,9213742993368664938803040203,6601822515414603719492440676662
%N A214182 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 A214182 Column 3 of A214187
%H A214182 R. H. Hardin, <a href="/A214182/b214182.txt">Table of n, a(n) for n = 1..210</a>
%F A214182 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 A214182 Some solutions for n=4
%e A214182 ..0..1..2..3....0..1..0..1....0..1..2..1....0..1..2..1....0..1..0..1
%e A214182 ..1..3..1..4....1..0..1..2....1..0..3..4....2..3..4..5....1..0..2..0
%e A214182 ..3..1..0..5....0..1..0..1....0..1..2..5....1..2..3..4....2..1..3..1
%e A214182 ..5..2..3..4....3..4..5..4....6..0..1..4....5..4..0..6....4..2..1..2
%K A214182 nonn
%O A214182 1,1
%A A214182 _R. H. Hardin_ Jul 07 2012