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Number of length 6+5 0..n arrays with every six consecutive terms having the maximum of some two terms equal to the minimum of the remaining four terms
1

%I #4 Nov 11 2014 12:39:56

%S 774,25659,315376,2170435,10384566,38804209,121263104,330977421,

%T 812445670,1830978831,3846189744,7617096799,14347945366,25885421205,

%U 44979623296,75622979129,123483223494,196448622211,305305805040

%N Number of length 6+5 0..n arrays with every six consecutive terms having the maximum of some two terms equal to the minimum of the remaining four terms

%C Row 6 of A250081

%H R. H. Hardin, <a href="/A250087/b250087.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (85/252)*n^9 + (1445/168)*n^8 + (347/7)*n^7 + (361/3)*n^6 + (631/4)*n^5 + (3775/24)*n^4 + (9602/63)*n^3 + (8381/84)*n^2 + (377/14)*n + 1

%e Some solutions for n=2

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 11 2014