%I #4 Sep 10 2012 11:27:22
%S 1,1,2,20,67,1335,6097,192713,1094076,49055292,329588907,19602119017,
%T 151146594991,11399696350555,98774751736976,9146845346099410,
%U 87700687826082507,9731199828137067515,102042888281439150263
%N Number of horizontal, diagonal and antidiagonal neighbor colorings of the odd squares of an nX3 array with new integer colors introduced in row major order
%C Column 3 of A216612
%H R. H. Hardin, <a href="/A216609/b216609.txt">Table of n, a(n) for n = 1..97</a>
%e Some solutions for n=4
%e ..x..0..x....x..0..x....x..0..x....x..0..x....x..0..x....x..0..x....x..0..x
%e ..1..x..2....1..x..2....1..x..2....1..x..2....1..x..2....1..x..2....1..x..2
%e ..x..3..x....x..3..x....x..3..x....x..0..x....x..3..x....x..0..x....x..0..x
%e ..4..x..1....0..x..1....0..x..4....3..x..1....4..x..0....2..x..3....1..x..2
%K nonn
%O 1,3
%A _R. H. Hardin_ Sep 10 2012