id:A029808 - OEIS Search Results

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Number of Lyndon words (aperiodic necklaces) with 3n beads of 3 colors, n beads of each color. One color labeled, the other two unlabeled.

+0
4

1, 7, 93, 1440, 25225, 476427, 9501737, 197197440, 4219878330, 92516600575, 2068590840349, 47010163129632, 1083052539395723, 25244912684662559, 594388664281931925, 14118181920797391360, 337939791145403719897 (list; graph; listen)

	OFFSET	`1,2`
	LINKS	`Index entries for sequences related to Lyndon words`
	FORMULA	`1/(6n) * sum over d\|n of {mu(n/d) * (3d)! / d!^3}.`
	PROGRAM	`(PARI) for(n=1, 23, print(1/(6n)sumdiv(n, d, moebius(n/d)(3d)!/d!^3)))`
	CROSSREFS	`Inverse Witt transform of A006178.` `Sequence in context: A027955 A124654 A006178 this_sequence A089915 A109304 A134113` `Adjacent sequences: A029805 A029806 A029807 this_sequence A029809 A029810 A029811`
	KEYWORD	`nonn`
	AUTHOR	`Lionel Levine (levine(AT)ultranet.com)`
	EXTENSIONS	`More terms from Jason Earls (zevi_35711(AT)yahoo.com), Aug 31 2001` `Edited by Christian G. Bower (bowerc(AT)usa.net), Aug 28 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research