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Number of (n+1)X6 0..3 arrays 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 111993,88392872,68668190865,53426898480029,41562568796591219,

%T 32333381562091308913,25153548265096499157320,

%U 19568045656061108846540126,15222838587628954290925815053,11842511977410697491841076989064

%N Number of (n+1)X6 0..3 arrays with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order

%C Column 5 of A210134

%H R. H. Hardin, <a href="/A210131/b210131.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 17 2012