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A056307
Number of primitive (period n) n-bead necklace structures using exactly six different colored beads.
2
0, 0, 0, 0, 0, 1, 3, 36, 296, 2303, 16317, 110461, 717024, 4532102, 28046285, 170938778, 1029749994, 6149327608, 36477979041, 215304156613, 1265984738261, 7422971215512, 43433472086235, 253759842112792
OFFSET
1,7
COMMENTS
Turning over the necklace is not allowed. Colors may be permuted without changing the necklace structure.
REFERENCES
M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]
FORMULA
Sum mu(d)*A056299(n/d) where d|n. Alternatively, A056302(n)-A056301(n)..
CROSSREFS
Column 6 of A107424.
Cf. A056291.
Sequence in context: A268898 A127960 A005446 * A056299 A212616 A073980
KEYWORD
nonn
STATUS
approved