%I
%S 1,2,4,29,97,1534,7050,188835,1084180,42756208,291120551,15590248868,
%T 121920095674,8414029179365,73953763887277,6340176007793060,
%U 61657373569634586,6390402969619162909,67948766672072844798
%N Number of horizontal, vertical and diagonal neighbor colorings of the odd squares of an nX3 array with new integer colors introduced in row major order
%C Column 3 of A216031
%H R. H. Hardin, <a href="/A216026/b216026.txt">Table of n, a(n) for n = 1..41</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..2..x....x..3..x....x..3..x....x..2..x....x..2..x....x..2..x....x..3..x
%e ..0..x..1....0..x..4....4..x..5....3..x..0....2..x..1....3..x..4....3..x..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Aug 30 2012
