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A056300 Number of primitive (period n) n-bead necklace structures using a maximum of four different colored beads. +0
4
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; listen)
OFFSET

1,3

COMMENT

Turning over the necklace is not allowed. Colors may be permuted without changing the necklace structure.

REFERENCES

M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.

FORMULA

sum mu(d)*A056292(n/d) where d|n and n>0.

CROSSREFS

Cf. A027377.

Sequence in context: A018386 A089073 A138190 this_sequence A144636 A018418 A155217

Adjacent sequences: A056297 A056298 A056299 this_sequence A056301 A056302 A056303

KEYWORD

nonn

AUTHOR

Marks R. Nester (nesterm(AT)dpi.qld.gov.au)

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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