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%I #4 May 29 2014 10:51:37
%S 14,47,179,760,3544,17919,97106,557629,3355754,20947076,134427057,
%T 880509876,5853586307,39329462552,266245960560,1811985386143,
%U 12377955974471,84777925049790,581723436274151,3996794717429022
%N Number of length n+3 0..6 arrays with no four elements in a row with pattern abab (with a!=b) and new values 0..6 introduced in 0..6 order
%C Column 6 of A243044
%H R. H. Hardin, <a href="/A243042/b243042.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) -95*a(n-2) +154*a(n-3) +222*a(n-4) -448*a(n-5) -773*a(n-6) +213*a(n-7) +1374*a(n-8) +1181*a(n-9) +27*a(n-10) -736*a(n-11) -690*a(n-12) -334*a(n-13) -95*a(n-14) -15*a(n-15) -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....1....1....1....1....1....1....1....1....0....1....1....0....1....1....0
%e ..2....2....1....0....2....2....0....2....2....1....1....1....1....0....2....0
%e ..1....2....0....2....3....2....2....1....2....2....0....0....1....2....3....1
%e ..3....0....2....3....3....3....1....3....2....1....0....1....1....3....4....2
%e ..3....0....1....1....0....1....1....2....2....0....0....2....1....3....2....3
%e ..0....0....0....1....3....0....2....0....0....2....0....2....0....1....4....2
%K nonn
%O 1,1
%A _R. H. Hardin_, May 29 2014
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