%I #4 Feb 05 2014 05:47:54
%S 928,3284,12014,29456,97862,269844,926086,2450048,8256930,22301740,
%T 75579798,202641416,684983946,1842571444,6234175914,16748300216,
%U 56643845034,152257571812,515024932506,1384075694696,4681456782942
%N Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 3 of A237234
%H R. H. Hardin, <a href="/A237229/b237229.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-2) +42*a(n-4) -21*a(n-6) -207*a(n-8) for n>13
%e Some solutions for n=5
%e ..0..2..2..2....1..0..2..2....1..1..2..0....0..1..2..2....2..0..0..2
%e ..0..1..2..2....0..1..2..1....1..1..1..1....2..2..1..0....1..1..1..1
%e ..0..0..1..1....2..2..1..0....2..1..1..0....1..1..0..0....2..1..1..0
%e ..2..1..1..1....2..1..0..0....0..1..2..2....1..1..0..0....0..0..1..2
%e ..1..1..1..0....1..0..1..2....0..0..1..2....2..2..1..0....0..1..2..1
%e ..2..0..1..2....0..1..2..2....2..1..0..1....0..1..1..2....2..2..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 05 2014