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Number of n-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and three times sum of squares <= n^2*(n+1).
0

%I #7 Mar 12 2017 23:10:50

%S 1,2,7,82,1093,20409,486633,14395011,494288725,19525179009

%N Number of n-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and three times sum of squares <= n^2*(n+1).

%C Diagonal of A208814.

%e Some solutions for n=6:

%e .-3...-4...-3...-5...-3...-4...-5...-4...-5...-5...-5...-4...-3...-4...-6...-5

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 01 2012