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A056363 Number of primitive (period n) bracelet structures using a maximum of four different colored beads. +0
3
1, 1, 2, 5, 10, 29, 72, 230, 700, 2421, 8308, 30070, 108990, 403188, 1497057, 5607200, 21076570, 79595257, 301492044, 1145558141, 4363503609, 16660196142, 63741248200, 244339616370, 938255682540 (list; graph; listen)
OFFSET

1,3

COMMENT

Turning over will not create a new bracelet. Permuting the colors of the beads will not change the structure.

REFERENCES

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

FORMULA

sum mu(d)*A056354(n/d) where d|n.

CROSSREFS

Cf. A056300.

Sequence in context: A102964 A075885 A018377 this_sequence A006404 A101957 A047113

Adjacent sequences: A056360 A056361 A056362 this_sequence A056364 A056365 A056366

KEYWORD

nonn

AUTHOR

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

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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