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A056301 Number of primitive (period n) n-bead necklace structures using a maximum of five different colored beads. 4
1, 1, 2, 5, 11, 38, 122, 496, 2005, 8707, 38364, 173562, 792827, 3662800, 17034367, 79702578, 374624253, 1767881397, 8370666416, 39751064122, 189262621739, 903220020390, 4319518316898, 20697040024784 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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. [See A056391 for pdf file of Chap. 2]

LINKS

Table of n, a(n) for n=1..24.

FORMULA

a(n) = Sum_{d|n} mu(d) * A056293(n/d); mu = A008683.

CROSSREFS

Cf. A001692, A008683.

Sequence in context: A074497 A131581 A195985 * A001344 A056302 A276547

Adjacent sequences:  A056298 A056299 A056300 * A056302 A056303 A056304

KEYWORD

nonn

AUTHOR

Marks R. Nester

STATUS

approved

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Last modified April 8 05:55 EDT 2020. Contains 333312 sequences. (Running on oeis4.)