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%I #4 Nov 07 2014 21:15:53
%S 35,2335,46460,463880,2967275,13967995,52655600,167876760,469717035,
%T 1183918175,2739855580,5905755440,11988148835,23116240715,42635915200,
%U 75642505040,129686222355,215689279935,349119227420,551468884600
%N Number of length 3+6 0..n arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms
%C Row 3 of A249883
%H R. H. Hardin, <a href="/A249886/b249886.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = n^9 + (9/7)*n^8 + (100/21)*n^7 + (20/3)*n^6 + (59/6)*n^5 + (91/12)*n^4 + (5/3)*n^3 + (55/28)*n^2 + (5/21)*n
%e Some solutions for n=3
%e ..2....2....3....2....2....0....0....2....3....2....2....0....1....3....0....0
%e ..0....2....2....0....0....1....0....1....0....3....1....0....0....0....3....3
%e ..3....0....0....0....0....2....2....0....0....1....3....3....1....1....0....0
%e ..2....0....2....3....3....0....0....0....3....0....0....0....3....0....3....1
%e ..0....3....2....1....2....3....2....2....1....2....3....3....3....3....2....1
%e ..3....1....1....2....3....3....1....0....3....3....1....1....3....2....0....0
%e ..1....3....1....0....0....2....1....3....2....0....3....3....2....3....3....1
%e ..2....3....3....2....1....0....0....1....0....3....2....2....0....0....0....0
%e ..0....0....3....0....2....1....0....3....2....0....1....3....0....3....1....1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 07 2014
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