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Number of (n+1)X6 0..3 arrays containing all values 0..3 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 12:37:32

%S 103752,82255351,62264517380,47230346056196,35812805301833530,

%T 27156404404201709994,20592266923035456358072,

%U 15614795007150616398474584,11840454887138919128812338618,8978431861925796030847663452124

%N Number of (n+1)X6 0..3 arrays containing all values 0..3 with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order

%C Column 5 of A210183

%H R. H. Hardin, <a href="/A210180/b210180.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 18 2012