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A244178 Number of length n+4 0..3 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..3 introduced in 0..3 order 1

%I #4 Jun 21 2014 21:26:34

%S 48,173,650,2495,9667,37604,146521,571315,2228340,8692454,33909901,

%T 132287996,516081723,2013345287,7854504270,30642176351,119542013302,

%U 466360306590,1819376645854,7097798434855,27690112004115,108025370530911

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

%C Column 3 of A244185

%H R. H. Hardin, <a href="/A244178/b244178.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) +6*a(n-3) +3*a(n-4) -10*a(n-5) -23*a(n-6) -34*a(n-7) -36*a(n-8) -28*a(n-9) -19*a(n-10) -8*a(n-11) -3*a(n-12)

%e Some solutions for n=6

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 21 2014

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Last modified April 23 07:34 EDT 2024. Contains 371905 sequences. (Running on oeis4.)