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A056333 Number of primitive (aperiodic) reversible string structures with n beads using a maximum of four different colors. +0
3
1, 1, 3, 9, 30, 102, 378, 1440, 5607, 22155, 87978, 350775, 1400490, 5597487, 22379145, 89498880, 357952170, 1431737433, 5726775978, 22906819575, 91626580269, 366505186047, 1466017950378, 5864067254880 (list; graph; listen)
OFFSET

1,3

COMMENT

A string and its reverse are considered to be equivalent. Permuting the colors 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)*A056323(n/d) where d|n.

CROSSREFS

Cf. A056315.

Sequence in context: A096222 A090573 A048119 this_sequence A047007 A047064 A007453

Adjacent sequences: A056330 A056331 A056332 this_sequence A056334 A056335 A056336

KEYWORD

nonn

AUTHOR

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

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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