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Search: id:A056353
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| A056353 |
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Number of bracelet structures using a maximum of three different colored beads. |
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+0
6
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| 1, 2, 3, 6, 9, 22, 40, 100, 225, 582, 1464, 3960, 10585, 29252, 80819, 226530, 636321, 1800562, 5107480, 14548946, 41538916, 118929384, 341187048, 980842804, 2824561089, 8147557742, 23536592235
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Turning over will not create a new bracelet. Permuting the colors of the beads 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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LINKS
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R. M. Thompson and R. T. Downs, Systematic generation of all nonequivalent close-packed stacking sequences..., Acta Cryst. B57 (2001), 766-771; B58 (2002), 153.
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FORMULA
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Use de Bruijn's generalization of Polya's enumeration theorem as discussed in reference.
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CROSSREFS
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Cf. A002076, A000011, A027671, A114438.
Sequence in context: A055873 A091053 A095064 this_sequence A111274 A133385 A002076
Adjacent sequences: A056350 A056351 A056352 this_sequence A056354 A056355 A056356
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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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