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A056331 Number of primitive (aperiodic) reversible string structures with n beads using a maximum of two different colors. 2
1, 1, 2, 4, 9, 16, 35, 66, 133, 261, 527, 1032, 2079, 4123, 8244, 16440, 32895, 65639, 131327, 262380, 524762, 1049071, 2098175, 4195230, 8390646, 16779231, 33558392, 67112892, 134225919, 268443306 (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)*A005418(n/d) where d divides n.

CROSSREFS

Cf. A045625.

Sequence in context: A005980 A128093 * A056336 A203318 A060401 A063981

Adjacent sequences:  A056328 A056329 A056330 * A056332 A056333 A056334

KEYWORD

nonn

AUTHOR

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

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Last modified February 13 14:15 EST 2012. Contains 205503 sequences.