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Number of n-bead necklaces labeled with numbers -4..4 not allowing reversal, with sum zero and first differences in -4..4.
0

%I #6 Mar 13 2017 00:16:33

%S 1,3,7,33,159,874,4935,28816,171413,1036611,6350875,39346156,

%T 246076193,1551630136,9853551873,62966367376,404595868611

%N Number of n-bead necklaces labeled with numbers -4..4 not allowing reversal, with sum zero and first differences in -4..4.

%C Column 4 of A208993.

%e Some solutions for n=6:

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

%e ..1....1....1....1....0...-1...-1...-1...-1....1....0....1...-2...-2....0....0

%e ..2....1...-1...-1....2....1....0....2....2...-1....0....1...-2....1...-1....1

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 04 2012