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A209547 1/4 the number of (n+1)X3 0..3 arrays with every 2X2 subblock having exactly two distinct clockwise edge differences 1

%I #10 Mar 19 2021 09:13:03

%S 20,105,562,3051,16582,90186,490547,2668340,14514612,78953457,

%T 429474356,2336164666,12707780399,69125130364,376012453568,

%U 2045354053809,11125890031368,60520294171670,329205663240431,1790744248612872

%N 1/4 the number of (n+1)X3 0..3 arrays with every 2X2 subblock having exactly two distinct clockwise edge differences

%C Column 2 of A209553

%H R. H. Hardin, <a href="/A209547/b209547.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -14*a(n-2) -3*a(n-3) +20*a(n-4) -8*a(n-5) -2*a(n-6)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 10 2012

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)