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Number of (n+1)X3 0..2 arrays with every 2X2 subblock sum greater than 4
1

%I #5 Mar 31 2012 12:36:00

%S 165,1983,20514,225739,2429833,26384550,285552669,3094453927,

%T 33517063586,363104617411,3933373186569,42609958428230,

%U 461585542594517,5000289770972767,54167328433304858,586786270194480467

%N Number of (n+1)X3 0..2 arrays with every 2X2 subblock sum greater than 4

%C Column 2 of A184497

%H R. H. Hardin, <a href="/A184490/b184490.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=8*a(n-1)+42*a(n-2)-106*a(n-3)-213*a(n-4)+351*a(n-5)+186*a(n-6)-256*a(n-7)-40*a(n-8)+48*a(n-9)

%e Some solutions for 5X3

%e ..0..2..0....0..2..1....0..2..2....0..2..1....0..2..2....0..2..2....0..2..1

%e ..2..2..1....2..2..1....1..2..0....1..2..2....2..2..2....2..1..1....2..1..2

%e ..2..1..2....2..2..1....1..2..2....0..2..2....0..1..2....2..2..2....0..2..1

%e ..1..2..0....2..2..2....1..2..2....2..2..2....2..2..2....2..1..1....1..2..1

%e ..1..2..2....2..1..0....2..2..1....0..2..0....0..1..1....2..2..1....2..2..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2011