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

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

%S 1239185,2860160370,6412474476465,14400521616297866,

%T 32333381450807878715,72599208478326114502304,

%U 163009108891704227787040790,366009150671326795521231043797,821811105127510823800558776457203

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

%C Column 6 of A210086

%H R. H. Hardin, <a href="/A210084/b210084.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 17 2012