%I #3 Dec 15 2014 07:12:13
%S 240,9295,123826,907249,4652710,18231947,59838132,169267931,429064420,
%T 989821179,2121738374,4261220223,8118682922,14752915881,25768412560,
%U 43419516045,70948741604
%N Number of length 7+2 0..n arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero
%C Row 7 of A252177
%e Some solutions for n=3
%e ..2....2....2....3....3....3....1....2....3....0....2....0....2....3....1....3
%e ..0....3....0....2....0....1....0....2....2....0....3....2....1....0....2....0
%e ..0....2....2....0....3....2....1....1....2....2....2....3....2....3....2....2
%e ..0....3....3....1....2....2....2....0....0....2....3....3....2....0....0....3
%e ..0....2....0....1....0....3....2....0....2....2....3....1....3....2....2....2
%e ..0....1....0....3....1....1....0....3....2....1....1....2....2....3....0....2
%e ..2....2....3....3....3....2....2....1....2....1....0....3....2....2....2....2
%e ..0....0....2....0....1....1....0....0....2....3....0....0....2....1....2....0
%e ..0....1....2....0....2....1....0....1....1....3....1....3....3....1....3....1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2014