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A244179 Number of length n+4 0..4 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..4 introduced in 0..4 order 1

%I #4 Jun 21 2014 21:27:14

%S 49,188,790,3537,16477,78614,380407,1855983,9098538,44726540,

%T 220215471,1085242000,5350977611,26391893977,130191662653,

%U 642301565508,3168980716083,15635596759403,77146727890806,380649496885405

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

%C Column 4 of A244185

%H R. H. Hardin, <a href="/A244179/b244179.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +8*a(n-2) -5*a(n-3) -36*a(n-4) -86*a(n-5) -106*a(n-6) -52*a(n-7) +102*a(n-8) +337*a(n-9) +559*a(n-10) +701*a(n-11) +701*a(n-12) +582*a(n-13) +403*a(n-14) +227*a(n-15) +105*a(n-16) +34*a(n-17) +8*a(n-18)

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

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

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

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

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

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

%e ..0....0....0....0....3....2....4....4....1....3....4....1....3....3....1....0

%e ..1....0....0....4....2....3....3....1....1....2....1....3....3....1....1....3

%e ..4....2....2....3....3....2....0....1....3....1....3....0....0....4....2....1

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 21 2014

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Last modified April 20 06:33 EDT 2024. Contains 371799 sequences. (Running on oeis4.)