%I #4 Aug 28 2012 14:26:44
%S 1,2,10,29,366,1534,35167,188835,6618472,42756208,2081922515,
%T 15590248868,993343650912,8414029179365,673316834487162,
%U 6340176007793060,618445940056365121,6390402969619162909,742701928727400476918
%N Number of horizontal, vertical and diagonal neighbor colorings of the even squares of an nX3 array with new integer colors introduced in row major order
%C Column 3 of A215959
%H R. H. Hardin, <a href="/A215954/b215954.txt">Table of n, a(n) for n = 1..41</a>
%e Some solutions for n=4
%e ..0..x..1....0..x..1....0..x..1....0..x..1....0..x..1....0..x..1....0..x..1
%e ..x..2..x....x..2..x....x..2..x....x..2..x....x..1..x....x..1..x....x..2..x
%e ..2..x..3....2..x..0....2..x..3....1..x..0....2..x..3....1..x..2....2..x..3
%e ..x..4..x....x..1..x....x..0..x....x..3..x....x..4..x....x..0..x....x..1..x
%K nonn
%O 1,2
%A _R. H. Hardin_ Aug 28 2012