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Number of (n+1)X8 0..3 arrays with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:37:34

%S 13035456,84204544256,525218223843536,3289463792785895520,

%T 20592266925119437726832,128916198765144572103220336,

%U 807064033391096001306908915584,5052529194034453788657081337165632

%N Number of (n+1)X8 0..3 arrays with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order

%C Column 7 of A210413

%H R. H. Hardin, <a href="/A210412/b210412.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 21 2012