%I #5 Mar 31 2012 12:36:06

%S 30,148,140,406,1246,3106,7240,19040,49004,124974,318420,814714,

%T 2080852,5324036,13622742,34838372,89070962,227812618,582742964,

%U 1490551186,3812248194,9750367192,24938804546,63787545162,163151712528,417295494174

%N Number of (n+1)X3 binary arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants

%C Column 2 of A186902

%H R. H. Hardin, <a href="/A186895/b186895.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+a(n-2)+4*a(n-3)+9*a(n-4)+9*a(n-5)+a(n-6)-26*a(n-7)-50*a(n-8)-58*a(n-9)-32*a(n-10)-17*a(n-11)-a(n-12)+14*a(n-13)+61*a(n-14)+66*a(n-15)+50*a(n-16)+13*a(n-17) for n>19

%e Some solutions for 5X3

%e ..1..1..0....1..0..1....1..0..1....0..0..1....0..0..1....0..1..0....0..0..0

%e ..0..1..1....1..0..0....1..0..0....0..0..1....0..0..1....0..1..0....0..1..0

%e ..0..0..1....1..0..1....1..1..0....1..1..1....0..1..1....0..1..1....1..1..0

%e ..0..1..1....1..1..1....0..1..1....1..1..0....1..1..0....0..0..1....1..0..0

%e ..0..1..0....0..1..0....0..1..1....0..1..1....0..0..0....0..0..0....1..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 28 2011