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A029808 Number of Lyndon words (aperiodic necklaces) with 3n beads of 3 colors, n beads of each color. One color labeled, the other two unlabeled. 3
1, 7, 93, 1440, 25225, 476427, 9501737, 197197440, 4219878330, 92516600575, 2068590840349, 47010163129632, 1083052539395723, 25244912684662559, 594388664281931925, 14118181920797391360, 337939791145403719897 (list; graph; refs; listen; history; internal format)
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}.

PROG

(PARI) for(n=1, 23, print(1/(6*n)*sumdiv(n, d, moebius(n/d)*(3*d)!/d!^3)))

CROSSREFS

Inverse Witt transform of A006178.

Sequence in context: A027955 A124654 A006178 * A089915 A197484 A109304

Adjacent sequences:  A029805 A029806 A029807 * 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 February 15 23:53 EST 2012. Contains 205860 sequences.