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%I #8 Nov 03 2019 15:49:10
%S 0,0,1,1,4,9,26,66,183,488,1342,3690,10220,28470,79720,224230,633040,
%T 1793727,5097638,14528640,41509364,118868750,341098474,980661510,
%U 2824295364,8147015352,23535794889,68085719208,197213728060,571919889400,1660412355602,4825573629390
%N Number of primitive (period n) n-bead bracelet structures which are not periodic palindromes using a maximum of three different colored beads.
%C Permuting the colors of the beads will not change the structure.
%H Andrew Howroyd, <a href="/A328657/b328657.txt">Table of n, a(n) for n = 1..200</a>
%F a(n) = Sum_{k=1..3} A309784(n, k).
%F a(n) = A056362(n) - A056514(n).
%e For n <= 5, the structures are the same as in A328038.
%e For n = 6, the 9 bracelet structures have the patterns: AABABB, ABCCCC, ABBCCC, ABBBCB, ABBCBC, ABBCCB, ABCBBC, AABBCC, AABCBC.
%Y Cf. A056362, A056514, A309784, A328038.
%K nonn
%O 1,5
%A _Andrew Howroyd_, Oct 24 2019
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