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A056365
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Number of primitive (period n) bracelet structures using a maximum of six different colored beads.
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3
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1, 1, 1, 2, 5, 11, 33, 91, 342, 1305, 5940, 28227, 144545, 760109, 4112455, 22571026, 125410006, 702370207, 3959138462, 22425417823, 127530807883, 727630240442, 4163114784625, 23876534534361, 137228556011456, 790200525479694, 4557943660168122, 26331300028827092
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OFFSET
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0,4
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COMMENTS
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Turning over will not create a new bracelet. Permuting the colors of the beads will not change the structure.
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REFERENCES
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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]
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LINKS
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FORMULA
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a(n) = Sum_{d|n} mu(d)*A056356(n/d) for n > 0.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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a(0)=1 prepended and terms a(25) and beyond from Andrew Howroyd, Oct 26 2019
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STATUS
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approved
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