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Search: id:A056334
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| A056334 |
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Number of primitive (aperiodic) reversible string structures with n beads using a maximum of five different colors. |
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+0
3
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| 1, 1, 3, 9, 31, 111, 454, 1982, 9130, 43547, 211658, 1041316, 5156641, 25640000, 127773440, 637622320, 3184387573, 15910938734, 79521737938, 397510683092, 1987259549544, 9935420434636, 49674470817194
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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)*A056324(n/d) where d|n.
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CROSSREFS
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Cf. A056316.
Adjacent sequences: A056331 A056332 A056333 this_sequence A056335 A056336 A056337
Sequence in context: A049174 A049159 A101473 this_sequence A063032 A056335 A049188
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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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