%I #8 Mar 31 2012 12:36:02
%S 0,99,163,1107,2887,13347,43105,174081,613897,2364597,8617105,
%T 32495955,119862859,448215555,1661092927,6192979083,23001089833,
%U 85659616761,318444543841,1185407345757,4408595984617,16407725447979,61033569059827
%N Number of (n+1)X2 0..2 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum
%C Column 1 of A185504
%H R. H. Hardin, <a href="/A185498/b185498.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=6*a(n-1)-2*a(n-2)-48*a(n-3)+132*a(n-4)-201*a(n-5)+234*a(n-6)+6*a(n-7)-2052*a(n-8)+5616*a(n-9)-10656*a(n-10)+8640*a(n-11)-5184*a(n-12)
%e Some solutions for 3X2
%e ..0..2....1..1....1..0....0..0....1..0....2..0....1..2....0..1....0..0....0..1
%e ..0..0....1..0....2..1....1..1....2..2....2..1....0..1....0..1....0..0....1..1
%e ..2..0....2..0....2..1....0..0....1..2....0..0....0..1....1..2....1..1....1..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 29 2011