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Number of (n+1)X7 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 17262,3745144,795773818,176163769267,38303320167422,8191570949391204,

%T 1725096441495004196,358792884816460002669,73884793608220074063313,

%U 15095735190392461348923878,3065184253013978227031816509

%N Number of (n+1)X7 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 6 of A209969

%H R. H. Hardin, <a href="/A209967/b209967.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..0..0..0..0....0..0..0..0..1..2..1

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 16 2012