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%I #5 Mar 31 2012 12:35:57
%S 1036,30994,808007,22249026,601469417,16373312263,444611005885,
%T 12084357225118,328338345988788,8922222967151091,242440415275112112,
%U 6587856407285676011,179011367304571279881,4864274276729176636103
%N Number of (n+1)X3 0..3 arrays with every 2X2 subblock sum greater than 6
%C Column 2 of A184217
%H R. H. Hardin, <a href="/A184210/b184210.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=21*a(n-1)+243*a(n-2)-1800*a(n-3)-8335*a(n-4)+43037*a(n-5)+82290*a(n-6)-395548*a(n-7)-259095*a(n-8)+1530499*a(n-9)+86017*a(n-10)-2608822*a(n-11)+581376*a(n-12)+2049624*a(n-13)-748352*a(n-14)-707040*a(n-15)+310464*a(n-16)+86400*a(n-17)-41472*a(n-18)
%e Some solutions for 5X3
%e ..2..2..2....2..2..0....2..2..2....2..2..2....2..2..2....2..2..0....2..2..2
%e ..2..2..3....2..2..3....2..2..2....2..2..3....2..2..3....2..2..3....2..2..1
%e ..3..3..0....3..3..0....3..3..2....1..3..1....2..2..3....2..2..2....3..1..3
%e ..1..3..2....3..3..2....1..3..1....2..2..3....1..3..3....0..3..1....2..3..3
%e ..3..2..1....0..3..3....3..3..1....2..3..2....0..3..1....2..2..2....3..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 10 2011