%I
%S 111041,2873148,97718448,2954664074,96890744524,3053080325738,
%T 98979850888752,3147626098090446,101661714691938195,
%U 3244508348779174674,104561582249103669993,3343583637884068117018,107597913060577040448668
%N Number of (n+1)X6 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors
%C Column 5 of A205246
%H R. H. Hardin, <a href="/A205243/b205243.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..0..2..2..0..1..1....0..1..0..0..2..2....2..1..0..2..1..2....1..1..0..1..2..1
%e ..0..1..1..1..1..1....2..0..0..1..2..1....2..1..1..0..1..2....2..0..1..2..1..0
%e ..0..2..0..0..1..2....1..1..1..2..0..1....0..1..2..0..1..0....0..0..2..0..0..1
%e ..0..0..1..2..0..0....1..2..0..1..1..1....0..1..0..1..2..1....1..2..0..0..1..2
%e ..2..1..2..1..0..1....1..0..2..2..2..0....1..2..2..2..0..1....2..1..1..1..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 24 2012
