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%I #4 May 29 2014 10:29:37
%S 13,43,163,694,3251,16516,89891,517995,3124633,19526936,125310013,
%T 819900515,5439853987,36450654645,245947876098,1667610573306,
%U 11345449253135,77370823036978,528505154812999,3614268384433002
%N Number of length n+3 0..6 arrays with no four elements in a row with pattern abba (possibly a=b) and new values 0..6 introduced in 0..6 order
%C Column 6 of A243033
%H R. H. Hardin, <a href="/A243031/b243031.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-1) -84*a(n-2) +150*a(n-3) -60*a(n-4) +328*a(n-5) -613*a(n-6) -360*a(n-7) -1052*a(n-8) +372*a(n-9) +773*a(n-10) +1906*a(n-11) +1441*a(n-12) +1124*a(n-13) +396*a(n-14) +144*a(n-15)
%e Some solutions for n=3
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....1....1....0....0....0....1....1....1....0....1....1....0....0....1....1
%e ..2....2....0....1....1....1....2....2....1....1....2....0....1....0....0....2
%e ..0....0....1....2....0....0....3....3....2....0....1....1....2....1....2....1
%e ..2....1....2....1....2....2....3....2....3....2....2....2....3....2....1....3
%e ..0....3....2....3....0....1....1....3....0....3....0....0....4....3....1....3
%K nonn
%O 1,1
%A _R. H. Hardin_, May 29 2014