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Number of (n+1) X 8 0..3 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..3 introduced in row major order.
1

%I #7 Aug 19 2022 14:44:50

%S 177977851,11534052523389,747797195466172046,48482197805424282951252,

%T 3143262221646752596264102690,203788158413867986023089008758269,

%U 13212265000747034021229857133763537610

%N Number of (n+1) X 8 0..3 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..3 introduced in row major order.

%C Column 7 of A206521.

%H R. H. Hardin, <a href="/A206520/b206520.txt">Table of n, a(n) for n = 1..31</a>

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A206521.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2012