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Number of n-bead necklaces labeled with numbers -5..5 not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2.
0

%I #6 Mar 12 2017 23:59:50

%S 1,6,30,223,1722,14431,125428,1125484,10331019,96583955,916363757,

%T 8801147754,85402605777

%N Number of n-bead necklaces labeled with numbers -5..5 not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2.

%C Column 5 of A209073.

%e Some solutions for n=6:

%e .-3...-3...-5...-5...-3...-3...-5...-5...-5...-2...-4...-5...-4...-5...-3...-3

%e ..3...-1....0....3....0....3....3...-4...-1....1...-1....0....2....3...-3...-2

%e .-2...-3....0....0...-3...-1....4....4....1....0....2....1....0...-4...-2....3

%e ..0....5...-4...-1....2...-2....0....5....3....0....1....0...-2....0....4....2

%e .-1....3....4...-2...-1....5....2...-5....5...-2....5....5....5....3....5....1

%e ..3...-1....5....5....5...-2...-4....5...-3....3...-3...-1...-1....3...-1...-1

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 04 2012