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Number of (n+1)X7 0..3 arrays 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 12:37:34

%S 1176192,2633043200,5718722907600,12464482425454304,

%T 27156404472228366416,59168572189285825092176,

%U 128916198765144572103220336,280882175302904664142569808512,611985080884296483153754366288624

%N Number of (n+1)X7 0..3 arrays with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order

%C Column 6 of A210413

%H R. H. Hardin, <a href="/A210411/b210411.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 21 2012