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A056300
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Number of primitive (period n) n-bead necklace structures using a maximum of four different colored beads.
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3
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1, 1, 2, 5, 10, 35, 102, 360, 1232, 4427, 15934, 58465, 215250, 799593, 2983204, 11187200, 42109450, 159081482, 602809326, 2290679807, 8726308212, 33318645341, 127479700198, 488672244040, 1876500180280
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Turning over the necklace is not allowed. Colors may be permuted without changing the necklace structure.
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REFERENCES
| M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.
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FORMULA
| sum mu(d)*A056292(n/d) where d|n and n>0.
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CROSSREFS
| Cf. A027377.
Sequence in context: A018386 A089073 A138190 * A144636 A018418 A155217
Adjacent sequences: A056297 A056298 A056299 * A056301 A056302 A056303
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KEYWORD
| nonn
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AUTHOR
| Marks R. Nester (nesterm(AT)dpi.qld.gov.au)
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