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Number of (n+1)X3 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:37:33

%S 35,4125,279526,16048775,863174816,45102170733,2324938770750,

%T 119066365167743,6078269658276164,309804771379081797,

%U 15778253418814486642,803272327276093831503,40886881399081354971416

%N Number of (n+1)X3 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

%C Column 2 of A210320

%H R. H. Hardin, <a href="/A210314/b210314.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 79*a(n-1) -1474*a(n-2) +1450*a(n-3) +39515*a(n-4) -30297*a(n-5) -122076*a(n-6) +99228*a(n-7) +43912*a(n-8) -53472*a(n-9) +11232*a(n-10)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 20 2012

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Last modified September 22 08:33 EDT 2024. Contains 376097 sequences. (Running on oeis4.)