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%I #8 Jul 05 2012 06:15:47
%S 1,17,514,16388,524296,16777232,536870944,17179869248,549755814016,
%T 17592186044672,562949953421824,18014398509483008,576460752303425536,
%U 18446744073709555712,590295810358705659904,18889465931478580871168
%N Number of 0..4 colorings on an nX3 array circular in the 3 direction with new values 0..4 introduced in row major order
%C Column 2 of A214141
%H R. H. Hardin, <a href="/A214135/b214135.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 34*a(n-1) -64*a(n-2).
%F Empirical: 2^(n-2)+32^(n-1)/2. G.f. -x*(-1+17*x) / ( (32*x-1)*(2*x-1) ). - _R. J. Mathar_, Jul 05 2012
%e Some solutions for n=4
%e ..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
%e ..3..2..4....3..4..0....1..0..3....3..4..1....1..0..3....1..2..0....1..3..4
%e ..1..3..0....1..2..3....2..1..4....2..1..0....2..1..4....3..4..1....2..4..0
%e ..2..4..1....2..1..0....3..2..0....4..0..1....1..0..2....0..1..4....0..3..2
%K nonn
%O 1,2
%A _R. H. Hardin_ Jul 05 2012
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