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Number of length n+6 0..2 arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms
1

%I #5 Nov 11 2014 07:55:49

%S 735,1299,2292,4030,7054,12284,21276,36654,65647,117118,207970,367357,

%T 645284,1127254,1959943,3490956,6215841,11039715,19532090,34400784,

%U 60306267,105317881,186769658,331702865,588582975,1041809368,1837663608

%N Number of length n+6 0..2 arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms

%C Column 2 of A250059

%H R. H. Hardin, <a href="/A250053/b250053.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A250053/a250053.txt">Empirical recurrence of order 98</a>

%F Empirical recurrence of order 98 (see link above)

%e Some solutions for n=6

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 11 2014