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A056302
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Number of primitive (period n) n-bead necklace structures using a maximum of six different colored beads.
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3
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1, 1, 2, 5, 11, 39, 125, 532, 2301, 11010, 54681, 284023, 1509851, 8194902, 45080652, 250641356, 1404374247, 7917209005, 44848645457, 255055220735, 1455247360000, 8326191235902, 47752990403133
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Turning over the necklace is not allowed. Colors may be permuted without changing the necklace structure.
a(n) = A107424(n, 1)+A107424(n, 2)+...+A107424(n, 6). - David Wasserman (wasserma(AT)spawar.navy.mil), May 31 2005
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REFERENCES
| M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.
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FORMULA
| sum mu(d)*A056294(n/d) where d|n and n>0.
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CROSSREFS
| Cf. A032164.
Sequence in context: A195985 A056301 A001344 * A065850 A191029 A106886
Adjacent sequences: A056299 A056300 A056301 * A056303 A056304 A056305
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KEYWORD
| nonn
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AUTHOR
| Marks R. Nester (nesterm(AT)dpi.qld.gov.au)
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