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%I A056362 #10 Oct 26 2019 14:28:34
%S A056362 1,1,1,2,4,8,18,39,94,222,572,1463,3934,10584,29211,80808,226430,
%T A056362 636320,1800318,5107479,14548360,41538874,118927919,341187047,
%U A056362 980838750,2824561080,8147547156,23536592010,68087313892,197216119544,571924673368,1660419530055,4825587979390
%N A056362 Number of primitive (period n) bracelet structures using a maximum of three different colored beads.
%C A056362 Turning over will not create a new bracelet. Permuting the colors of the beads will not change the structure.
%D A056362 M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]
%H A056362 Andrew Howroyd, <a href="/A056362/b056362.txt">Table of n, a(n) for n = 0..200</a>
%F A056362 a(n) = Sum_{d|n} mu(d)*A056353(n/d) for n > 0.
%F A056362 a(n) = Sum_{k=1..3} A276543(n, k) for n > 0. - _Andrew Howroyd_, Oct 26 2019
%Y A056362 Cf. A002075, A056353, A056367, A276543.
%K A056362 nonn
%O A056362 0,4
%A A056362 _Marks R. Nester_
%E A056362 a(0)=1 prepended and terms a(28) and beyond from _Andrew Howroyd_, Oct 26 2019

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