%I #4 Feb 09 2014 06:40:40
%S 81,1668,60002,3207808,501667350,184415543478,177367882314550,
%T 366119804483636046,1978497544874844832642,25098928376580088624364564,
%U 821453000361180626304440936512
%N Number of (n+1)X(n+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Diagonal of A237557
%e Some solutions for n=3
%e ..2..2..0..0....1..1..2..0....2..1..1..0....1..0..0..0....1..0..0..2
%e ..2..1..0..2....1..0..1..2....1..2..1..0....0..0..0..1....2..0..0..1
%e ..1..0..1..1....2..1..0..0....0..1..2..0....2..0..1..0....2..0..1..0
%e ..0..1..2..2....2..0..2..0....1..1..1..2....1..1..0..0....0..1..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 09 2014