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

%I #9 Oct 03 2025 15:58:41

%S 4324477,7662761615,13436785945910,23591974220786341,

%T 41416871324907300274,72710583381311090972861,

%U 127648944977287507883659858,224097463697668976495970811325

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

%C Column 7 of A210404

%H R. H. Hardin, <a href="/A210403/b210403.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 21 2012