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A056286 Number of n-bead necklaces with exactly six different colored beads. 6
0, 0, 0, 0, 0, 120, 2160, 23940, 211680, 1643544, 11748240, 79419180, 516257280, 3262443120, 20193277104, 123071707080, 741419995680, 4427490147480, 26264144909520, 155018841055596, 911509010154720, 5344538384445120, 31272099902089200, 182707081122261480 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Turning over the necklace is not allowed.

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

Alois P. Heinz, Table of n, a(n) for n = 1..1000

FORMULA

A054625(n)-6*A001869(n)+15*A001868(n)-20*A001867(n)+15*A000031(n)-6.

CROSSREFS

Cf. A054625.

Column k=6 of A087854.

Sequence in context: A144858 A084030 A056291 * A166779 A038745 A267839

Adjacent sequences:  A056283 A056284 A056285 * A056287 A056288 A056289

KEYWORD

nonn

AUTHOR

Marks R. Nester (nesterm(AT)dpi.qld.gov.au)

STATUS

approved

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Last modified July 23 14:53 EDT 2017. Contains 289688 sequences.