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A056293 Number of n-bead necklace structures using a maximum of five different colored beads. 4
1, 2, 3, 7, 12, 42, 123, 503, 2008, 8720, 38365, 173609, 792828, 3662924, 17034381, 79703081, 374624254, 1767883444, 8370666417, 39751072847, 189262621864, 903220058756, 4319518316899, 20697040198889 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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.

LINKS

N. J. A. Sloane, Maple code for this and related sequences

FORMULA

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

CROSSREFS

Cf. A000013, A001869.

Sequence in context: A084708 A035003 A143879 * A056294 A084423 A068134

Adjacent sequences:  A056290 A056291 A056292 * A056294 A056295 A056296

KEYWORD

nonn

AUTHOR

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

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.