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Search: id:A056292
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| A056292 |
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Number of n-bead necklace structures using a maximum of four different colored beads. |
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5
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| 1, 2, 3, 7, 11, 39, 103, 367, 1235, 4439, 15935, 58509, 215251, 799697, 2983217, 11187567, 42109451, 159082753, 602809327, 2290684251, 8726308317, 33318661277, 127479700199, 488672302909, 1876500180291
(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, A001868.
Sequence in context: A140108 A056354 A072534 this_sequence A106125 A073609 A053781
Adjacent sequences: A056289 A056290 A056291 this_sequence A056293 A056294 A056295
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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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