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Number of (n+1)X3 0..3 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants
1

%I #6 Mar 31 2012 12:36:06

%S 580,11354,63504,739334,8499038,97501656,1029483706,11412065338,

%T 126395136040,1397513210452,15414550870912,170592128024378,

%U 1886912171155070,20866267731905124,230752006350156298

%N Number of (n+1)X3 0..3 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants

%C Column 2 of A186786

%H R. H. Hardin, <a href="/A186784/b186784.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 5X3

%e ..2..0..1....3..0..0....1..0..2....2..0..1....1..0..0....2..0..1....0..0..1

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

%e ..0..3..0....0..1..2....2..3..1....2..1..1....1..2..2....2..2..0....3..1..1

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

%e ..3..3..3....0..2..2....2..3..1....1..2..2....1..2..2....2..2..0....3..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2011