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%I #4 Jan 03 2015 07:48:57
%S 81,2724,30013,162815,673229,2662626,10168992,38531995,145820265,
%T 550386072,2065878028
%N Number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically
%C Diagonal of A253524
%e Some solutions for n=4
%e ..1..2..2..0..0....0..0..0..1..2....1..2..2..2..1....0..2..2..2..0
%e ..1..2..2..0..0....0..0..0..0..0....0..0..1..2..2....0..2..2..2..0
%e ..2..2..1..0..0....1..1..1..1..0....1..0..1..2..2....2..2..2..2..2
%e ..2..1..0..0..0....1..1..1..1..0....2..0..1..2..2....2..0..0..0..2
%e ..1..0..0..1..1....1..0..0..0..1....2..0..1..2..2....1..0..0..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 03 2015