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Search: id:A056305
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| A056305 |
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Number of primitive (period n) n-bead necklace structures using exactly four different colored beads. |
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+0
2
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| 0, 0, 0, 1, 2, 13, 50, 220, 866, 3435, 13250, 51061, 194810, 742601, 2823764, 10738660, 40843370, 155493872, 592614050, 2261622287, 8643289484, 33080907357, 126797503250, 486710920300, 1870851589552
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OFFSET
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1,5
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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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FORMULA
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Sum mu(d)*A056297(n/d) where d|n. Alternatively, A056300(n)-A002075(n)..
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CROSSREFS
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Cf. A056289.
Sequence in context: A117717 A005584 A072416 this_sequence A056297 A037383 A034476
Adjacent sequences: A056302 A056303 A056304 this_sequence A056306 A056307 A056308
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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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