%I #4 Nov 13 2014 21:24:35
%S 2248,122228,2144132,19726379,120228940,552269862,2065373112,
%T 6607592421,18700338208,47943752104,113308224476,250125796271,
%U 521017392260,1032386666362,1958587672368,3576440979465,6313441009080,10813776458524
%N Number of length 6+6 0..n arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms
%C Row 6 of A250154
%H R. H. Hardin, <a href="/A250160/b250160.txt">Table of n, a(n) for n = 1..103</a>
%F Empirical: a(n) = (1/99)*n^11 + (49/36)*n^10 + (5111/252)*n^9 + (4255/42)*n^8 + (5189/21)*n^7 + (4589/12)*n^6 + (90821/180)*n^5 + (5075/9)*n^4 + (23329/63)*n^3 + (3109/42)*n^2  (42157/2310)*n + 1
%e Some solutions for n=2
%e ..0....2....0....0....2....1....1....0....0....2....0....0....0....0....0....1
%e ..2....0....0....1....0....2....2....2....0....0....0....2....2....0....0....0
%e ..2....1....0....0....2....0....2....0....0....0....0....0....1....0....1....0
%e ..0....0....0....0....1....2....2....2....0....1....0....2....1....2....2....2
%e ..0....1....1....2....0....1....1....2....0....0....0....0....2....1....0....1
%e ..1....0....2....1....0....1....1....2....0....2....2....2....1....0....2....1
%e ..0....0....0....1....1....2....1....0....0....0....0....0....2....2....0....0
%e ..0....0....0....0....2....1....2....0....1....0....2....0....1....0....0....0
%e ..1....1....0....0....0....1....0....2....0....2....2....2....2....2....2....2
%e ..2....2....2....0....2....1....1....0....2....0....0....2....0....0....1....0
%e ..2....0....1....0....1....2....1....2....1....1....0....0....2....2....0....2
%e ..0....2....0....2....0....2....1....0....1....0....0....2....1....0....2....2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 13 2014
