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Number of n-bead necklaces labeled with numbers -5..5 not allowing reversal, with sum zero and first differences in -5..5.
0

%I #6 Mar 13 2017 00:15:57

%S 1,3,11,58,351,2354,16307,116183,843779,6227718,46571177,352155364,

%T 2688196663,20688930990,160363122189

%N Number of n-bead necklaces labeled with numbers -5..5 not allowing reversal, with sum zero and first differences in -5..5.

%C Column 5 of A208993.

%e Some solutions for n=6:

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 04 2012