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Search: id:A056294
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| A056294 |
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Number of n-bead necklace structures using a maximum of six different colored beads. |
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+0
4
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| 1, 2, 3, 7, 12, 43, 126, 539, 2304, 11023, 54682, 284071, 1509852, 8195029, 45080666, 250641895, 1404374248, 7917211349, 44848645458, 255055231763, 1455247360128, 8326191290585, 47752990403134
(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, A054625.
Sequence in context: A035003 A143879 A056293 this_sequence A084423 A068134 A081256
Adjacent sequences: A056291 A056292 A056293 this_sequence A056295 A056296 A056297
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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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