%I #5 Feb 06 2014 06:28:55
%S 81,320,1264,5120,20692,82800,332192,1346016,5439936,21769152,
%T 87340224,353899264,1430292992,5723670528,22964038912,93049464832,
%U 376061938688,1504905191424,6037857292288,24465182810112,98876703129600
%N Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 1 of A237332
%H R. H. Hardin, <a href="/A237325/b237325.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 288*a(n-4) -6720*a(n-8) +33536*a(n-12) for n>15
%e Some solutions for n=5
%e ..2..1....1..2....0..1....1..2....2..2....1..2....2..1....2..0....0..0....1..1
%e ..2..0....1..1....2..0....0..0....2..2....2..0....1..2....0..2....1..2....2..2
%e ..2..0....0..2....2..0....2..0....1..2....0..2....1..1....1..2....1..2....2..1
%e ..2..1....1..0....0..1....1..0....1..0....0..1....0..2....1..2....1..1....1..0
%e ..0..1....1..2....2..1....1..2....2..2....0..1....1..0....2..0....1..1....1..1
%e ..2..2....0..2....2..2....2..0....1..1....1..1....1..2....0..2....2..1....1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 06 2014