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A056292 Number of n-bead necklace structures using a maximum of four different colored beads. 4
1, 2, 3, 7, 11, 39, 103, 367, 1235, 4439, 15935, 58509, 215251, 799697, 2983217, 11187567, 42109451, 159082753, 602809327, 2290684251, 8726308317, 33318661277, 127479700199, 488672302909, 1876500180291 (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, A001868.

Sequence in context: A140108 A056354 A072534 * A106125 A175171 A073609

Adjacent sequences:  A056289 A056290 A056291 * A056293 A056294 A056295

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 12:41 EST 2012. Contains 205909 sequences.