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A056365 Number of primitive (period n) bracelet structures using a maximum of six different colored beads. 1
1, 1, 2, 5, 11, 33, 91, 342, 1305, 5940, 28227, 144545, 760109, 4112455, 22571026, 125410006, 702370207, 3959138462, 22425417823, 127530807883, 727630240442, 4163114784625, 23876534534361, 137228556011456 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

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)*A056356(n/d) where d|n.

CROSSREFS

Cf. A056302.

Sequence in context: A151395 A056364 A205799 * A006400 A080068 A196690

Adjacent sequences:  A056362 A056363 A056364 * A056366 A056367 A056368

KEYWORD

nonn

AUTHOR

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

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Last modified February 15 23:21 EST 2012. Contains 205860 sequences.