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A056341 Number of bracelets using a maximum of six different colored beads. 2
6, 21, 56, 231, 888, 4291, 20646, 107331, 563786, 3037314, 16514106, 90782986, 502474356, 2799220041, 15673673176, 88162676511, 497847963696, 2821127825971, 16035812864946, 91404068329560 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Turning over will not create a new bracelet.

REFERENCES

M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.

FORMULA

a(n) = sum phi(d)*6^(n/d)/2/n where d|n and a(n)=6^((n+1)/2)/2 for n odd and a(n)=7/4*6^(n/2) for n even.

CROSSREFS

Cf. A000029, A054625.

Sequence in context: A145134 A074745 A056414 * A144899 A053809 A047520

Adjacent sequences:  A056338 A056339 A056340 * A056342 A056343 A056344

KEYWORD

nonn

AUTHOR

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

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Last modified February 13 14:37 EST 2012. Contains 205512 sequences.