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Number of (n+1)X3 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant
1

%I #5 Mar 31 2012 12:36:05

%S 175,1969,18873,197619,2008031,20738153,213108423,2194753479,

%T 22587046821,232531438315,2393657704397,24641409679961,

%U 253666806143927,2611352484956083,26882320490736795,276737910767834565

%N Number of (n+1)X3 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant

%C Column 2 of A186218

%H R. H. Hardin, <a href="/A186212/b186212.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 5X3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 15 2011