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Number of length n+6 0..3 arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms.
1

%I #6 Apr 26 2021 19:41:26

%S 7224,18966,50028,132054,348066,915064,2398187,6264519,16780283,

%T 44934437,120109652,320204464,851082289,2255459974,5963697251,

%U 15895712873,42426824580,113249519695,302038597433,804346238604,2138273636787

%N Number of length n+6 0..3 arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms.

%C Column 3 of A250059.

%H R. H. Hardin, <a href="/A250054/b250054.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..2....3....0....0....2....0....2....1....1....2....2....1....2....2....3....0

%e ..1....1....3....0....2....2....1....2....0....2....3....2....1....0....0....3

%e ..3....1....1....2....2....1....2....3....2....2....0....2....3....3....3....2

%e ..0....0....1....1....2....3....0....2....0....2....2....0....0....3....1....0

%e ..2....1....0....1....0....2....1....0....3....1....2....1....1....0....3....2

%e ..2....3....1....2....3....2....1....3....1....0....0....1....0....1....2....2

%e ..0....0....2....3....1....3....0....2....2....0....1....0....1....2....3....1

%e ..2....1....0....0....0....0....2....1....3....3....3....1....3....3....3....3

%e ..2....2....1....0....3....3....1....3....0....2....2....1....3....3....0....0

%e ..1....2....2....2....3....0....1....3....2....2....0....1....3....3....2....2

%Y Cf. A250059.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 11 2014