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%I #10 Mar 20 2017 09:51:10
%S 1,3,5,23,88,471,2517,14611,86014,519574,3177405,19681214,123050881,
%T 775868013,4926859869,31483531830,202298489710,1306289630067,
%U 8472236548514,55167003603285,360512087413974,2363623888860990,15542899182846478,102488033365084376
%N Number of n-bead necklaces labeled with numbers -4..4 allowing reversal, with sum zero and first differences in -4..4.
%H Andrew Howroyd, <a href="/A209028/b209028.txt">Table of n, a(n) for n = 1..100</a>
%e Some solutions for n=6:
%e .-1...-1...-3...-2...-1...-2...-4...-1...-1...-3...-3...-2...-2...-2...-3...-2
%e ..0...-1...-3....0...-1....1....0...-1....0...-1...-1....0...-1....1...-1....0
%e .-1...-1...-1...-1...-1....1....2....0...-1....0....2....0...-1...-1....2....3
%e ..1....0....2....2....0...-2....0....0....1....3...-1....0....1....2....0...-1
%e ..0....1....4...-1....3....1....2....0...-1....0....3....2....2...-1....1...-1
%e ..1....2....1....2....0....1....0....2....2....1....0....0....1....1....1....1
%Y Column 4 of A209032.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 04 2012
%E a(17)-a(24) from _Andrew Howroyd_, Mar 19 2017