%I #4 Nov 26 2014 12:24:52

%S 120,2870,28238,163043,677505,2225195,6290716,15474251,34620063,

%T 71045837,136895633,249167782,432945014,721867127,1163471851,

%U 1819556318,2767225673,4114863787,5983678292,8546815362,11983543443,16566644515

%N Number of length 7+1 0..n arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero

%C Row 7 of A250646

%H R. H. Hardin, <a href="/A250651/b250651.txt">Table of n, a(n) for n = 1..34</a>

%e Some solutions for n=4

%e ..4....2....3....3....1....4....1....1....2....4....4....1....1....0....0....0

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

%e ..1....3....4....0....1....4....2....0....4....3....4....0....3....4....2....4

%e ..1....4....4....4....4....0....0....3....2....3....0....2....0....1....1....1

%e ..1....4....3....4....4....4....1....1....3....0....0....3....1....0....1....0

%e ..0....0....3....1....2....0....1....3....0....4....0....1....0....0....0....1

%e ..0....1....3....0....2....2....0....3....2....0....2....2....4....2....3....1

%e ..0....2....3....1....1....0....4....4....1....3....1....4....2....2....2....1

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014