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%I #5 Mar 31 2012 12:37:05
%S 81,4158,515162,144087952,96890744524,145542216126349,
%T 555164681243665142
%N Number of (n+1)X(n+1) 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 Diagonal of A205246
%e Some solutions for n=4
%e ..2..0..2..1..0....1..0..0..2..0....0..1..2..1..0....2..1..2..2..0
%e ..0..0..1..0..2....0..2..0..2..1....1..1..1..0..1....0..0..2..0..2
%e ..0..2..2..1..2....1..2..0..0..0....0..1..1..1..2....1..1..2..1..2
%e ..0..0..0..1..2....1..2..2..1..2....2..2..1..1..0....0..1..2..0..1
%e ..1..1..0..1..0....1..1..0..1..2....2..1..2..0..0....0..1..0..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 24 2012