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%I #4 May 17 2014 19:20:23
%S 14,46,175,745,3481,17634,95729,550503,3316400,20716789,133010422,
%T 871426139,5793393075,38920526974,263416849112,1792161569676,
%U 12237842678789,83782031880589,574620337324485,3946034125700132
%N Number of length n+3 0..6 arrays with no four elements in a row with pattern aabb (with a!=b) and new values 0..6 introduced in 0..6 order
%C Column 6 of A242584
%H R. H. Hardin, <a href="/A242582/b242582.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 22*a(n-1) -206*a(n-2) +1156*a(n-3) -4714*a(n-4) +15358*a(n-5) -40643*a(n-6) +89400*a(n-7) -167115*a(n-8) +262308*a(n-9) -349485*a(n-10) +393316*a(n-11) -361252*a(n-12) +276048*a(n-13) -160848*a(n-14) +67392*a(n-15) -20736*a(n-16)
%e Some solutions for n=4
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....0....0....1....1....1....0....1....0....1....0....1....1....1....1....1
%e ..0....0....1....1....1....2....0....2....1....2....1....0....2....0....2....2
%e ..1....1....2....2....1....3....0....3....0....0....2....2....3....2....3....3
%e ..2....2....3....0....2....1....0....0....0....3....3....0....0....0....0....4
%e ..1....3....1....0....0....0....0....3....0....4....2....3....2....2....1....2
%e ..1....4....0....3....1....1....0....2....2....1....3....4....0....1....3....5
%K nonn
%O 1,1
%A _R. H. Hardin_, May 17 2014