id:A029809 - OEIS Search Results

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Number of Lyndon words (aperiodic necklaces) with 4n beads of 4 colors, n beads of each color. One color labeled, the other 3 unlabeled.

+0
4

1, 52, 5133, 656880, 97772875, 16032938340, 2812609211657, 518547356184000, 99318297529004400, 19605670296090989500, 3966181169996511862429, 818782296743542722132528, 171938262068874336023196923 (list; graph; listen)

	OFFSET	`1,2`
	LINKS	`Index entries for sequences related to Lyndon words`
	FORMULA	`1/(24n) * sum over d\|n of {mu(n/d) * (4d)! / d!^4}.`
	PROGRAM	`(PARI) for(n=1, 23, print(1/(24n)sumdiv(n, d, moebius(n/d)(4d)!/d!^4)))`
	CROSSREFS	`Inverse Witt transform of A006179.` `Sequence in context: A042301 A027550 A006179 this_sequence A093252 A098148 A068255` `Adjacent sequences: A029806 A029807 A029808 this_sequence A029810 A029811 A029812`
	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 29 2002`

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

AT&T Labs Research