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A056306 Number of primitive (period n) n-bead necklace structures using exactly five different colored beads. 2
0, 0, 0, 0, 1, 3, 20, 136, 773, 4280, 22430, 115097, 577577, 2863207, 14051163, 68515378, 332514803, 1608799915, 7767857090, 37460384315, 180536313527, 869901375049, 4192038616700, 20208367780744 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

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)*A056298(n/d) where d|n. Alternatively, A056301(n)-A056300(n)..

CROSSREFS

Column 5 of A107424.

Cf. A056290.

Sequence in context: A138910 A000276 A216778 * A056298 A114479 A074574

Adjacent sequences:  A056303 A056304 A056305 * A056307 A056308 A056309

KEYWORD

nonn

AUTHOR

Marks R. Nester

STATUS

approved

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Last modified February 25 08:21 EST 2020. Contains 332221 sequences. (Running on oeis4.)