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A056302 Number of primitive (period n) n-bead necklace structures using a maximum of six different colored beads. 3
1, 1, 2, 5, 11, 39, 125, 532, 2301, 11010, 54681, 284023, 1509851, 8194902, 45080652, 250641356, 1404374247, 7917209005, 44848645457, 255055220735, 1455247360000, 8326191235902, 47752990403133 (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.

a(n) = A107424(n, 1)+A107424(n, 2)+...+A107424(n, 6). - David Wasserman, May 31 2005

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..23.

FORMULA

sum mu(d)*A056294(n/d) where d|n and n>0.

CROSSREFS

Cf. A032164.

Sequence in context: A195985 A056301 A001344 * A276547 A065850 A191029

Adjacent sequences:  A056299 A056300 A056301 * A056303 A056304 A056305

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified July 23 16:47 EDT 2017. Contains 289690 sequences.