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%I #5 Mar 31 2012 12:37:05
%S 2990,36478,515162,7051340,97718448,1334713506,18384097800,
%T 251875514320,3461757498588,47498508227712,652418339064389,
%U 8955881958241476,122986967957641438,1688504461834087204,23185409190832766293
%N Number of (n+1)X4 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 3 of A205246
%H R. H. Hardin, <a href="/A205241/b205241.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..1..0..0..0....0..0..2..2....0..0..2..1....0..1..2..2....0..2..1..2
%e ..1..2..0..0....1..2..0..0....1..2..0..0....0..0..1..1....1..1..1..1
%e ..0..0..2..0....2..0..0..2....1..2..2..2....2..1..2..2....0..0..1..2
%e ..1..1..2..0....2..2..1..2....1..0..0..1....1..0..2..0....2..0..1..0
%e ..2..1..2..1....0..0..1..2....2..2..0..1....0..1..2..2....2..0..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 24 2012
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