%I #4 Nov 13 2014 21:27:03
%S 4166,293972,6242596,66600911,456748018,2312181994,9388944776,
%T 32256038301,97202409022,263572868960,655251400172,1514717574955,
%U 3291656137706,6782657859958,13344281223952,25208831840825
%N Number of length 7+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 7 of A250154
%H R. H. Hardin, <a href="/A250161/b250161.txt">Table of n, a(n) for n = 1..67</a>
%F Empirical: a(n) = (32/99)*n^11 + (1007/90)*n^10 + (5377/63)*n^9 + (1681/6)*n^8 + (1546/3)*n^7 + (10928/15)*n^6 + (45772/45)*n^5 + (9685/9)*n^4 + (67219/126)*n^3 - 14*n^2 - (7551/110)*n + 1
%e Some solutions for n=1
%e ..0....0....0....0....0....1....0....1....0....1....0....1....0....1....1....1
%e ..1....1....0....1....0....0....0....1....1....0....1....0....1....1....0....0
%e ..0....0....1....1....1....0....0....0....1....0....1....1....0....0....1....1
%e ..0....1....0....0....0....0....1....1....0....0....0....0....0....0....0....1
%e ..1....1....0....1....1....0....0....0....1....0....0....0....1....0....1....1
%e ..0....0....0....0....0....0....1....1....0....1....0....0....0....0....0....0
%e ..0....0....1....0....0....1....0....0....0....1....1....0....0....0....1....0
%e ..0....0....1....1....0....0....0....1....1....0....0....0....1....1....0....1
%e ..1....0....0....1....0....0....1....0....1....1....1....0....0....0....0....0
%e ..0....0....1....1....0....1....1....1....0....0....0....0....1....0....1....0
%e ..1....1....0....0....1....0....0....1....0....0....1....0....1....1....1....0
%e ..1....0....1....0....1....0....1....0....1....1....0....0....0....1....1....1
%e ..1....1....0....0....1....1....0....0....0....0....1....1....0....1....0....0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 13 2014