%I #4 Jun 07 2014 11:00:25

%S 4,10,29,97,366,1533,7020,34631,181391,995139,5651157,32902123,

%T 194971159,1169639664,7076433285,43062727014,263096669677,

%U 1611790269519,9892521309824,60793268309048,373921041602730,2301237378396793

%N Number of length n+2 0..6 arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..6 introduced in 0..6 order

%C Column 6 of A243607

%H R. H. Hardin, <a href="/A243603/b243603.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 17*a(n-1) -106*a(n-2) +286*a(n-3) -245*a(n-4) -231*a(n-5) +329*a(n-6) +147*a(n-7) -106*a(n-8) -74*a(n-9) -15*a(n-10) -a(n-11)

%e Some solutions for n=5

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 07 2014