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Search: id:A056306
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| A056306 |
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Number of primitive (period n) n-bead necklace structures using exactly five different colored beads. |
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+0
2
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| 0, 0, 0, 0, 1, 3, 20, 136, 773, 4280, 22430, 115097, 577577, 2863207, 14051163, 68515378, 332514803, 1608799915, 7767857090, 37460384315, 180536313527, 869901375049, 4192038616700, 20208367780744
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OFFSET
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1,6
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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)*A056298(n/d) where d|n. Alternatively, A056301(n)-A056300(n)..
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CROSSREFS
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Cf. A056290.
Sequence in context: A037795 A138910 A000276 this_sequence A056298 A114479 A074574
Adjacent sequences: A056303 A056304 A056305 this_sequence A056307 A056308 A056309
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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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