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A056356
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Number of bracelet structures using a maximum of six different colored beads.
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7
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1, 1, 2, 3, 7, 12, 37, 92, 349, 1308, 5953, 28228, 144587, 760110, 4112548, 22571040, 125410355, 702370208, 3959139804, 22425417824, 127530813841, 727630240536, 4163114812854, 23876534534362, 137228556156385, 790200525479706, 4557943660928233, 26331300028828400
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OFFSET
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0,3
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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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Use de Bruijn's generalization of Polya's enumeration theorem as discussed in reference.
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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 25 2019
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STATUS
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approved
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