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A056362
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Number of primitive (period n) bracelet structures using a maximum of three different colored beads.
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5
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1, 1, 1, 2, 4, 8, 18, 39, 94, 222, 572, 1463, 3934, 10584, 29211, 80808, 226430, 636320, 1800318, 5107479, 14548360, 41538874, 118927919, 341187047, 980838750, 2824561080, 8147547156, 23536592010, 68087313892, 197216119544, 571924673368, 1660419530055, 4825587979390
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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)*A056353(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(28) and beyond from Andrew Howroyd, Oct 26 2019
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STATUS
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approved
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