%I #8 Sep 03 2022 23:04:54
%S 1,7,42,366,3378,33469,344618,3660116,39772437,440146892,4943305065,
%T 56200679500,645543627296
%N Number of n-bead necklaces labeled with numbers -6..6 not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2.
%C Column 6 of A209073.
%e Some solutions for n=6:
%e .-4...-5...-3...-5...-6...-5...-4...-6...-5...-4...-5...-6...-4...-5...-4...-1
%e .-2....4....5...-3....3....5....6....1....1....4....1...-6....0...-3....3....0
%e .-2....6....2....5...-3...-2...-2...-4...-1....1....4....6...-4....4...-3....0
%e ..4...-4...-1....2....4....4....0....0...-2....4...-3...-6....6....2....1....1
%e ..2...-2...-1....4....1...-4...-2....4....5...-2....5....6...-2....6....3...-1
%e ..2....1...-2...-3....1....2....2....5....2...-3...-2....6....4...-4....0....1
%Y Cf. A209073.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 04 2012