%I #7 Feb 07 2014 19:19:23
%S 81,1632,53167,3604930,480758688,101410470742,36546653191142,
%T 26246859602932048
%N Number of (n+1) X (n+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.
%C Diagonal of A237412.
%e Some solutions for n=3
%e ..1..0..2..2....0..2..1..0....0..0..1..1....1..0..0..1....1..2..0..1
%e ..1..0..1..0....0..1..1..2....1..1..2..1....0..0..0..0....1..1..1..0
%e ..2..1..1..2....1..1..1..1....2..0..2..2....1..1..0..0....0..2..1..2
%e ..0..2..0..2....1..1..0..2....2..0..1..0....1..1..1..0....1..2..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 07 2014