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%I #4 Feb 13 2014 06:13:04
%S 81,1456,44224,2255544,331842772,117723591636,102404775087552,
%T 203849177456550610,1004253131939214737666,11987401934837625930474512,
%U 346393910212793505363317222720
%N Number of (n+1)X(n+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Diagonal of A237779
%e Some solutions for n=3
%e ..0..1..0..2....2..0..1..1....2..2..1..1....2..0..0..0....0..1..1..1
%e ..1..1..2..0....1..1..0..2....2..0..0..0....0..0..1..1....2..0..1..2
%e ..1..2..0..1....0..1..2..1....0..1..1..2....2..1..1..2....1..2..0..2
%e ..2..0..1..0....1..2..1..0....1..1..2..2....2..0..2..0....1..0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 13 2014