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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

%I #10 Dec 15 2017 17:34:48

%S 1,52,5133,656880,97772875,16032938340,2812609211657,518547356184000,

%T 99318297529004400,19605670296090989500,3966181169996511862429,

%U 818782296743542722132528,171938262068874336023196923

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

%H <a href="/index/Lu#Lyndon">Index entries for sequences related to Lyndon words</a>

%F 1/(24n) * sum over d|n of {mu(n/d) * (4d)! / d!^4}.

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

%Y Inverse Witt transform of A006179.

%K nonn

%O 1,2

%A Lionel Levine (levine(AT)ultranet.com)

%E More terms from _Jason Earls_, Aug 31 2001

%E Edited by _Christian G. Bower_, Aug 29 2002

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)