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Search: id:A056293
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| A056293 |
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Number of n-bead necklace structures using a maximum of five different colored beads. |
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+0
5
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| 1, 2, 3, 7, 12, 42, 123, 503, 2008, 8720, 38365, 173609, 792828, 3662924, 17034381, 79703081, 374624254, 1767883444, 8370666417, 39751072847, 189262621864, 903220058756, 4319518316899, 20697040198889
(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 the necklace is not allowed. Colors may be permuted without changing the necklace 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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N. J. A. Sloane, Maple code for this and related sequences
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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. A000013, A001869.
Sequence in context: A084708 A035003 A143879 this_sequence A056294 A084423 A068134
Adjacent sequences: A056290 A056291 A056292 this_sequence A056294 A056295 A056296
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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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