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A056300 Number of primitive (period n) n-bead necklace structures using a maximum of four different colored beads. 5
1, 1, 2, 5, 10, 35, 102, 360, 1232, 4427, 15934, 58465, 215250, 799593, 2983204, 11187200, 42109450, 159081482, 602809326, 2290679807, 8726308212, 33318645341, 127479700198, 488672244040, 1876500180280 (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
FORMULA
a(n) = Sum_{d|n} mu(d) * A056292(n/d); mu = A008683.
CROSSREFS
Sequence in context: A089073 A343167 A138190 * A326006 A144636 A320430
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)