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Number of (n+1)X8 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 144945,56080379,22419183624,9585247795332,4082540189707757,

%T 1725096441495004196,721612821437109284511,299146037912951362959562,

%U 123075110690359925477005111,50324532317054668259634809719

%N Number of (n+1)X8 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 7 of A209969

%H R. H. Hardin, <a href="/A209968/b209968.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 16 2012