%I #3 Sep 14 2012 06:20:37
%S 2,9,189,11730,1561834,370625430,139733635588
%N Number of horizontal, vertical, diagonal or knight-move neighbor colorings of an nX3 array with new integer colors introduced in row major order
%C Column 3 of A216694
%e Some solutions for n=2
%e ..0..1..2....0..1..2....0..1..2....0..1..0....0..1..2....0..1..2....0..1..0
%e ..3..4..3....3..4..5....3..2..4....2..3..2....3..2..3....1..3..4....1..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Sep 14 2012