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Number of (n+1)X3 0..3 arrays with every 2X3 or 3X2 subblock having no more than four equal edges, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:37:11

%S 186,10998,695541,44350086,2830665213,180689239504,11534052523389,

%T 736261766040550,46998354497911525,3000081595834713716,

%U 191506483600891877185,12224578599211771061590,780340796424907303135629

%N Number of (n+1)X3 0..3 arrays with every 2X3 or 3X2 subblock having no more than four equal edges, and new values 0..3 introduced in row major order

%C Column 2 of A206521

%H R. H. Hardin, <a href="/A206515/b206515.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 66*a(n-1) -116*a(n-2) -1310*a(n-3) -7016*a(n-4) -9076*a(n-5) -9408*a(n-6) -4662*a(n-7) -4635*a(n-8) -378*a(n-9) -648*a(n-10)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 08 2012