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Search: id:A056307
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| A056307 |
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Number of primitive (period n) n-bead necklace structures using exactly six different colored beads. |
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+0
2
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| 0, 0, 0, 0, 0, 1, 3, 36, 296, 2303, 16317, 110461, 717024, 4532102, 28046285, 170938778, 1029749994, 6149327608, 36477979041, 215304156613, 1265984738261, 7422971215512, 43433472086235, 253759842112792
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OFFSET
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1,7
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COMMENT
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Turning over the necklace is not allowed. Colors may be permuted without changing the necklace 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.
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FORMULA
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Sum mu(d)*A056299(n/d) where d|n. Alternatively, A056302(n)-A056301(n)..
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CROSSREFS
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Cf. A056291.
Sequence in context: A073992 A127960 A005446 this_sequence A056299 A073980 A034860
Adjacent sequences: A056304 A056305 A056306 this_sequence A056308 A056309 A056310
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KEYWORD
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nonn
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AUTHOR
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Marks R. Nester (nesterm(AT)dpi.qld.gov.au)
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