%I #3 Dec 15 2014 07:05:04
%S 7,917,2729,39109,277101,2485637,18231947,135424961,963247737,
%T 6838373877,48103629141,337900112109,2368821073603,16597473994629,
%U 116236940081089
%N Number of length n+2 0..6 arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero
%C Column 6 of A252177
%e Some solutions for n=4
%e ..3....6....3....4....6....2....6....0....4....0....5....6....5....0....0....0
%e ..2....1....6....4....3....1....0....2....0....6....6....4....6....0....1....4
%e ..4....2....6....5....5....4....2....2....5....0....3....4....1....5....3....5
%e ..5....1....1....5....3....2....6....0....0....0....6....6....5....1....5....0
%e ..5....4....3....2....1....3....5....4....5....5....1....5....0....2....2....6
%e ..3....1....0....5....0....1....2....1....3....5....4....4....3....5....6....1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2014