%I #7 Mar 12 2017 23:57:09
%S 1,3,11,120,1683,32802,802125,23766209,827695021,33165786247
%N Number of n-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.
%C Diagonal of A209115.
%e Some solutions for n=6:
%e .-5...-4...-6...-4...-6...-6...-5...-6...-6...-4...-6...-6...-4...-4...-4...-5
%e ..0...-4...-1...-2...-4....0...-1....4....6....5....5....6....0....1...-2...-1
%e .-1....6....6....5....6...-5....6....0...-5...-3....4....2....0....2....3...-2
%e ..5...-1...-6....4....6....6...-2....1...-1....5....1...-2....2....1....1...-4
%e .-3...-1....4....0....2....2....4...-4....5...-3...-5...-2...-1....2....0....6
%e ..4....4....3...-3...-4....3...-2....5....1....0....1....2....3...-2....2....6
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 05 2012