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Search: id:A056332
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| A056332 |
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Number of primitive (aperiodic) reversible string structures with n beads using a maximum of three different colors. |
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+0
3
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| 1, 1, 3, 8, 24, 65, 195, 564, 1677, 4976, 14883, 44452, 133224, 399113, 1196808, 3588840, 10764960, 32289855, 96864963, 290580040, 871725426, 2615132465, 7845353475, 23535926760, 70607649816, 211822550576
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OFFSET
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1,3
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COMMENT
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A string and its reverse are considered to be equivalent. Permuting the colors will not change the structure.
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REFERENCES
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M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.
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FORMULA
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Sum mu(d)*A001998(n/d-1) where d|n.
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CROSSREFS
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Cf. A056314.
Sequence in context: A096001 A080097 A096886 this_sequence A091588 A018046 A095125
Adjacent sequences: A056329 A056330 A056331 this_sequence A056333 A056334 A056335
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KEYWORD
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nonn
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AUTHOR
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Marks R. Nester (nesterm(AT)dpi.qld.gov.au)
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