A056294 - OEIS

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A056294

Number of n-bead necklace structures using a maximum of six different colored beads.

1, 2, 3, 7, 12, 43, 126, 539, 2304, 11023, 54682, 284071, 1509852, 8195029, 45080666, 250641895, 1404374248, 7917211349, 44848645458, 255055231763, 1455247360128, 8326191290585, 47752990403134 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	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.`
	LINKS	`N. J. A. Sloane, Maple code for this and related sequences`
	FORMULA	`Use de Bruijn's generalization of Polya's enumeration theorem as discussed in reference.`
	CROSSREFS	`Cf. A000013, A054625.` `Sequence in context: A035003 A143879 A056293 * A084423 A068134 A081256` `Adjacent sequences: A056291 A056292 A056293 * A056295 A056296 A056297`
	KEYWORD	`nonn`
	AUTHOR	`Marks R. Nester (nesterm(AT)dpi.qld.gov.au)`

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.