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Number of (n+1)X8 0..3 arrays 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 12:37:30

%S 326123,108170155,38265187051,14575079152523,5674369527018763,

%T 2236023641962912731,886072158946966616059,352155097625024889148571,

%U 140172370468095791726293883,55840739584103536425301543483

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

%C Column 7 of A209848

%H R. H. Hardin, <a href="/A209847/b209847.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 14 2012