%I #8 Oct 03 2025 16:54:18

%S 4,337,88261,27240856,8548472292,2687052137887,844765198701963,

%T 265584804041291390,83497056404973808506,26250596837942857641941,

%U 8252911849410478325131985,2594628782449337737766700740

%N Number of 0..5 colorings of an nX4 array circular in the 4 direction with new values 0..5 introduced in row major order.

%C Column 3 of A214166

%H R. H. Hardin, <a href="/A214161/b214161.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 370*a(n-1) -18411*a(n-2) +297448*a(n-3) -1839799*a(n-4) +4424682*a(n-5) -4113757*a(n-6) +1249468*a(n-7)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 05 2012