%I #6 Mar 12 2017 23:55:20
%S 1,4,11,55,261,1373,7377,41256,235639,1372782,8114465,48564722,
%T 293656843,1791382922,11011083783,68131049950,424018776003
%N Number of n-bead necklaces labeled with numbers -3..3 not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.
%C Column 3 of A209115.
%e Some solutions for n=6:
%e .-1...-3...-3...-1...-3...-2...-2...-3...-2...-3...-2...-2...-3...-3...-3...-3
%e .-1...-1...-3...-1....2...-1...-2....3....2...-2....0...-1...-2...-1....1....0
%e ..0....2....2...-1....3....3....2...-2...-1....0....3....3....0....3....2...-2
%e ..3....3....1....1...-2....0...-2....3....0....3....0...-1....2....2...-2....3
%e .-1....0....3...-1...-2....0....1....1....0...-1...-2....2....0...-1....3....2
%e ..0...-1....0....3....2....0....3...-2....1....3....1...-1....3....0...-1....0
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 05 2012