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A029809 Number of Lyndon words (aperiodic necklaces) with 4n beads of 4 colors, n beads of each color. One color labeled, the other 3 unlabeled. 3
1, 52, 5133, 656880, 97772875, 16032938340, 2812609211657, 518547356184000, 99318297529004400, 19605670296090989500, 3966181169996511862429, 818782296743542722132528, 171938262068874336023196923 (list; graph; refs; listen; history; internal format)
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}.

PROG

(PARI) for(n=1, 23, print(1/(24*n)*sumdiv(n, d, moebius(n/d)*(4*d)!/d!^4)))

CROSSREFS

Inverse Witt transform of A006179.

Sequence in context: A156854 A027550 A006179 * A200576 A093252 A200806

Adjacent sequences:  A029806 A029807 A029808 * 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 February 15 03:22 EST 2012. Contains 205694 sequences.