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%I #5 Jun 04 2014 07:24:43
%S 7,35,158,715,3406,17366,94907,553807,3433490,22512257,155472029,
%T 1126989053,8548807676,67679513141,557899676487,4778535406628,
%U 42448208962613,390404810629273,3711893438414835,36432789329793687
%N Number of length n+3 0..n arrays with no four elements in a row with pattern abba (with a!=b) and new values 0..n introduced in 0..n order
%C Diagonal of A243389
%H R. H. Hardin, <a href="/A243382/b243382.txt">Table of n, a(n) for n = 1..62</a>
%e Some solutions for n=3
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..0....0....1....1....0....1....1....1....0....0....1....1....1....1....1....1
%e ..0....1....0....2....0....1....2....1....1....1....0....2....2....1....2....2
%e ..0....0....0....2....1....2....0....2....2....2....1....0....1....2....1....3
%e ..1....2....2....0....2....3....0....1....3....1....0....2....2....3....3....0
%e ..1....3....1....3....1....2....1....3....2....2....2....2....3....1....3....3
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 04 2014