%I #6 Jul 23 2025 12:10:30

%S 20,2864,93384,1332504,11215276,65834856,298220320,1112201376,

%T 3567226068,10145447312,26161729352,62193634776,138055565388,

%U 289022674792,575229575808,1095429860608,2006608664532,3551295564720,6094832640776

%N Number of length 5+5 0..n arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms.

%C Row 5 of A250014

%H R. H. Hardin, <a href="/A250019/b250019.txt">Table of n, a(n) for n = 1..56</a>

%F Empirical: a(n) = n^10 - (41/105)*n^9 + (883/168)*n^8 + (3/70)*n^7 + (593/60)*n^6 + (7/8)*n^4 + (1741/210)*n^3 - (491/70)*n^2 + (72/35)*n

%e Some solutions for n=3

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 10 2014