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A056354 Number of bracelet structures using a maximum of four different colored beads. +0
4
1, 2, 3, 7, 11, 33, 73, 237, 703, 2433, 8309, 30108, 108991, 403262, 1497070, 5607437, 21076571, 79595990, 301492045, 1145560579, 4363503684, 16660204452, 63741248201, 244339646708, 938255682551 (list; graph; listen)
OFFSET

1,2

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

Use de Bruijn's generalization of Polya's enumeration theorem as discussed in reference.

CROSSREFS

Cf. A056292.

Sequence in context: A138000 A034295 A140108 this_sequence A072534 A056292 A106125

Adjacent sequences: A056351 A056352 A056353 this_sequence A056355 A056356 A056357

KEYWORD

nonn

AUTHOR

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

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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