%I #5 Mar 31 2012 12:36:34
%S 272,413375,706120206,1275102148950,2366880827870877,
%T 4452440424252727173,8428943308912271720848,
%U 16004596485813250391893906,30431540879946488350797932499,57901155886923326494331172396019
%N Number of 2nX6 0..3 arrays with values 0..3 introduced in row major order and each element equal to exactly one horizontal and vertical neighbor
%C Column 3 of A198290
%H R. H. Hardin, <a href="/A198289/b198289.txt">Table of n, a(n) for n = 1..15</a>
%e Some solutions for n=2
%e ..0..0..1..1..2..2....0..0..1..1..0..0....0..0..1..1..2..2....0..0..1..2..2..0
%e ..2..2..3..3..1..1....1..1..0..0..1..2....2..2..0..0..1..1....3..3..1..3..3..0
%e ..1..0..0..2..0..0....3..0..1..3..1..2....0..1..2..2..3..0....0..1..0..2..0..3
%e ..1..3..3..2..3..3....3..0..1..3..0..0....0..1..0..0..3..0....0..1..0..2..0..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 23 2011