A056307 Number of primitive (period n) n-bead necklace structures using exactly six different colored beads.

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]

Links

Table of n, a(n) for n=1..24.

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

Adjacent sequences: A056304 A056305 A056306 * A056308 A056309 A056310

Keyword

nonn

Author

Marks R. Nester

Status

approved