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A056284 Number of n-bead necklaces with exactly four different colored beads. 6
0, 0, 0, 6, 48, 260, 1200, 5106, 20720, 81876, 318000, 1223136, 4675440, 17815020, 67769552, 257700906, 980240880, 3731753180, 14222737200, 54278580036, 207438938000, 793940475900, 3043140078000, 11681057249536, 44900438149296, 172824331826580, 666070256489680 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

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

A001868(n)-4*A001867(n)+6*A000031(n)-4.

CROSSREFS

Cf. A001868.

Column k=4 of A087854.

Sequence in context: A262354 A052771 A056289 * A246587 A229504 A100740

Adjacent sequences:  A056281 A056282 A056283 * A056285 A056286 A056287

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified July 23 14:56 EDT 2017. Contains 289688 sequences.