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A056333 Number of primitive (aperiodic) reversible string structures with n beads using a maximum of four different colors. 2
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; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

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: A148947 A090573 A048119 * A148948 A148949 A148950

Adjacent sequences:  A056330 A056331 A056332 * A056334 A056335 A056336

KEYWORD

nonn

AUTHOR

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

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Last modified February 17 09:41 EST 2012. Contains 206009 sequences.