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A244695 Number of length n+4 0..3 arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..3 introduced in 0..3 order 1

%I #4 Jul 04 2014 14:20:06

%S 49,176,661,2540,9858,38440,150208,587527,2299087,8998528,35223120,

%T 137880423,539741489,2112870328,8271068957,32378091171,126748027162,

%U 496170960208,1942323447926,7603469333490,29764737739051,116517814264327

%N Number of length n+4 0..3 arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..3 introduced in 0..3 order

%C Column 3 of A244702

%H R. H. Hardin, <a href="/A244695/b244695.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -3*a(n-2) -5*a(n-3) +a(n-4) -3*a(n-5) +4*a(n-6) -4*a(n-7) +a(n-8) +3*a(n-9) +2*a(n-11) -a(n-12) +a(n-13)

%e Some solutions for n=6

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 04 2014

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Last modified September 13 08:24 EDT 2024. Contains 375902 sequences. (Running on oeis4.)