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%I #7 Nov 02 2018 10:34:48
%S 4,10,29,97,365,1511,6726,31544,153328,763187,3857651,19692114,
%T 101153422,521664456,2697067469,13966320059,72395025823,375501794607,
%U 1948456098176,10113010271486,52497770870256,272549948856853,1415076190551061
%N Number of length n+2 0..5 arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..5 introduced in 0..5 order.
%H R. H. Hardin, <a href="/A243602/b243602.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-1) - 48*a(n-2) + 65*a(n-3) + 18*a(n-4) - 74*a(n-5) - 9*a(n-6) + 26*a(n-7) + 10*a(n-8) + a(n-9).
%F Empirical g.f.: x*(4 - 38*x + 101*x^2 - 31*x^3 - 129*x^4 + 18*x^5 + 63*x^6 + 21*x^7 + 2*x^8) / ((1 - x)*(1 - x - x^2)*(1 - 2*x - x^2)*(1 - 3*x - x^2)*(1 - 5*x - x^2)). - _Colin Barker_, Nov 02 2018
%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....1....1....0....1....1....0....1....0....1....1....1....1....1
%e ..1....2....1....1....2....0....2....1....1....1....1....1....2....1....2....2
%e ..1....2....2....2....0....1....3....0....1....2....2....1....0....0....3....2
%e ..1....3....0....3....0....2....4....2....2....0....2....1....1....2....1....2
%e ..2....3....3....4....0....2....4....1....3....3....3....0....1....2....1....0
%e ..2....1....2....2....2....2....1....3....1....1....0....0....0....2....1....3
%Y Column 5 of A243607.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 07 2014
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