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A210080 Number of (n+1)X3 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 51,2384,82691,2718363,88297042,2860160370,92588511903,2996810715343,

%T 96994366574290,3139281183878814,101604539088581047,

%U 3288484612764581771,106433531904417302770,3444777087479400101786,111492016707498418375743

%N Number of (n+1)X3 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 2 of A210086

%H R. H. Hardin, <a href="/A210080/b210080.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 42*a(n-1) -322*a(n-2) +274*a(n-3) +1887*a(n-4) -3124*a(n-5) +76*a(n-6) +1168*a(n-7)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 17 2012

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Last modified April 23 11:35 EDT 2024. Contains 371912 sequences. (Running on oeis4.)