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A056301 Number of primitive (period n) n-bead necklace structures using a maximum of five different colored beads. +0
4
1, 1, 2, 5, 11, 38, 122, 496, 2005, 8707, 38364, 173562, 792827, 3662800, 17034367, 79702578, 374624253, 1767881397, 8370666416, 39751064122, 189262621739, 903220020390, 4319518316898, 20697040024784 (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)*A056293(n/d) where d|n and n>0.

CROSSREFS

Cf. A001692.

Sequence in context: A156014 A092298 A131581 this_sequence A001344 A056302 A065850

Adjacent sequences: A056298 A056299 A056300 this_sequence A056302 A056303 A056304

KEYWORD

nonn

AUTHOR

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

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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