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Number of n-bead necklaces labeled with numbers -7..7 not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.
0

%I #6 Mar 12 2017 23:53:11

%S 1,8,55,559,5935,67681,802125,9804610,122616851,1561658960,

%T 20184817925,264098109360

%N Number of n-bead necklaces labeled with numbers -7..7 not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.

%C Column 7 of A209115.

%e Some solutions for n=6:

%e .-6...-5...-6...-6...-7...-6...-7...-5...-4...-7...-7...-4...-7...-7...-6...-6

%e .-3....7...-3...-3...-3....4...-3....6....3....2...-2....1....1....5...-6....2

%e ..2....3...-4....6....5....0....4....1....0....3....4....0....6...-5....2...-2

%e .-2...-4....6...-6....7...-3....4....2...-4...-2...-3....2....0...-1....3....6

%e ..3...-4....6....6....4....1....4...-4....3....0....7....2....5....3....3...-2

%e ..6....3....1....3...-6....4...-2....0....2....4....1...-1...-5....5....4....2

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 05 2012