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%I #9 Oct 26 2019 14:26:20
%S 1,1,1,2,5,11,33,91,342,1305,5940,28227,144545,760109,4112455,
%T 22571026,125410006,702370207,3959138462,22425417823,127530807883,
%U 727630240442,4163114784625,23876534534361,137228556011456,790200525479694,4557943660168122,26331300028827092
%N Number of primitive (period n) bracelet structures using a maximum of six different colored beads.
%C Turning over will not create a new bracelet. Permuting the colors of the beads will not change the structure.
%D 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 Andrew Howroyd, <a href="/A056365/b056365.txt">Table of n, a(n) for n = 0..200</a>
%F a(n) = Sum_{d|n} mu(d)*A056356(n/d) for n > 0.
%F a(n) = Sum_{k=1..6} A276543(n, k) for n > 0. - _Andrew Howroyd_, Oct 26 2019
%Y Cf. A056302, A056356, A056370, A276543.
%K nonn
%O 0,4
%A _Marks R. Nester_
%E a(0)=1 prepended and terms a(25) and beyond from _Andrew Howroyd_, Oct 26 2019
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