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%I #4 Feb 17 2014 07:58:18
%S 81,1944,81524,6698520,1021660750,279924727600,147986688652636,
%T 142416219762742160
%N Number of (n+1)X(n+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Diagonal of A238046
%e Some solutions for n=3
%e ..0..1..1..2....1..0..2..1....0..0..1..1....0..2..1..2....1..0..0..2
%e ..1..2..2..2....1..0..0..0....0..2..2..1....2..2..0..1....0..1..0..1
%e ..2..0..0..1....2..1..1..0....1..2..0..2....1..0..2..2....2..1..0..0
%e ..2..2..1..1....0..2..1..0....1..1..2..2....2..1..0..0....0..2..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 17 2014