%I #4 Feb 07 2014 05:03:30
%S 81,2064,104248,11767448,2375768088,940730849096,766079297989600,
%T 1929455276182592448
%N Number of (n+1)X(n+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Diagonal of A237384
%e Some solutions for n=3
%e ..1..1..0..0....1..2..1..0....1..2..2..2....1..2..0..2....0..2..0..2
%e ..1..0..1..2....0..2..1..1....0..1..2..2....0..0..2..1....1..2..0..1
%e ..1..2..0..1....1..1..1..1....2..0..1..2....2..0..1..0....1..2..1..2
%e ..0..0..0..2....1..2..2..1....1..1..1..0....0..1..2..0....1..1..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 07 2014