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

%I #5 Jun 21 2014 21:25:11

%S 13,108,650,3537,19113,107068,631917,3942493,25957707,179814745,

%T 1306450896,9927306820,78693187310,649274255424,5564498417410,

%U 49446990926385,454835006029152,4324309391696104,42435876012195583

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

%C Diagonal of A244185

%H R. H. Hardin, <a href="/A244176/b244176.txt">Table of n, a(n) for n = 1..46</a>

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

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

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

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

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

%e ..2....4....4....0....3....1....5....1....2....2....1....1....2....3....0....3

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

%e ..3....5....5....1....0....4....2....2....2....0....2....5....1....3....0....0

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 21 2014