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A210168 Number of (n+1) X 3 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having two or four distinct values, and new values 0..3 introduced in row major order. 1

%I #7 Jan 20 2024 13:30:44

%S 10,201,3283,48577,679253,9173091,121178151,1578188865,20364553277,

%T 261193130859,3336758862031,42516443800121,540813127075381,

%U 6871496034443795,87244283342152055,1107170119794198769

%N Number of (n+1) X 3 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having two or four distinct values, and new values 0..3 introduced in row major order.

%C Column 2 of A210174.

%H R. H. Hardin, <a href="/A210168/b210168.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) -362*a(n-2) +1648*a(n-3) -1561*a(n-4) -7568*a(n-5) +11440*a(n-6) +11360*a(n-7) -14768*a(n-8) -6400*a(n-9) +3840*a(n-10).

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A210174.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 18 2012

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)