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

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

%S 1845,235614,27112487,3143493049,351689776895,38303320167422,

%T 4082540189707757,427998742911795767,44301308191440007199,

%U 4540404981079741824131,461754399167951492388812

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

%C Column 5 of A209969

%H R. H. Hardin, <a href="/A209966/b209966.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 16 2012