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Number of n-bead necklaces labeled with numbers -7..7 allowing reversal, with sum zero and three times sum of squares <= n*(7)*(7+1).
1

%I #11 Mar 13 2017 00:23:03

%S 1,5,22,201,1827,21227,243678,2951235,37509753,473996108,6076893848,

%T 80987915371,1065626336007,14153929259801,193667696486438,

%U 2610764121932745,35428434842511617,493224952143247713,6763266087728449466,93152055287986212052

%N Number of n-bead necklaces labeled with numbers -7..7 allowing reversal, with sum zero and three times sum of squares <= n*(7)*(7+1).

%H Andrew Howroyd, <a href="/A208804/b208804.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=6:

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

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

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

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

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

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

%Y Column 7 of A208805.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 01 2012

%E a(12)-a(20) from _Andrew Howroyd_, Mar 02 2017