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Number of n-bead necklaces labeled with numbers -4..4 not allowing reversal, with sum zero and three times sum of squares <= n*(4)*(4+1).
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%I #6 Mar 12 2017 23:12:59

%S 1,3,13,82,455,3375,22939,164311,1295113,9606295,73033205,600317013,

%T 4678388841,36709902179,309541490733

%N Number of n-bead necklaces labeled with numbers -4..4 not allowing reversal, with sum zero and three times sum of squares <= n*(4)*(4+1).

%C Column 4 of A208814.

%e Some solutions for n=6:

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 01 2012