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%I #8 Sep 25 2023 22:42:01
%S 1,6,17,128,866,7179,60778,541494,4926728,45758958,431242307,
%T 4115192739
%N Number of n-bead necklaces labeled with numbers -5..5 allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.
%C Column 5 of A209485.
%e Some solutions for n=7:
%e .-3...-4...-2...-5...-5...-4...-4...-5...-4...-4...-3...-4...-3...-5...-3...-4
%e .-3....0...-1...-2...-2....1....0...-1...-3...-3...-2...-2...-3...-5...-2...-2
%e ..0....0....2....4....3....0....1...-3....1...-1....2...-1....4...-2...-2....5
%e ..3....0....2....1....4....1...-2....3....4....4...-1....1...-1....2...-1....3
%e .-2...-1...-1....1...-4...-4....4....1....0....0....2....1....0....0....3...-4
%e ..2....2...-2....0....2....1...-3....5....2....3...-3....4...-1....5....2....1
%e ..3....3....2....1....2....5....4....0....0....1....5....1....4....5....3....1
%Y Cf. A209485.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 09 2012