A074656
Number of Lyndon words (aperiodic necklaces) with 4n beads of 4 colors, n beads of each color.
Original entry on oeis.org
1, 6, 312, 30798, 3941280, 586637250, 96197630040, 16875655269942, 3111284137104000, 595909785174026400, 117634021776545937000, 23797087019979071174574, 4912693780461256332795168, 1031629572413246016139181538, 219809927417367517614451764984
Offset: 0
For n=1 the 6 words are 0123 0132 0213 0231 0312 0321 . - _R. J. Mathar_, Oct 21 2021
A074652
1/n * sum over d|n of {mu(n/d) * (4d)! / d!^4}.
Original entry on oeis.org
24, 1248, 123192, 15765120, 2346549000, 384790520160, 67502621079768, 12445136548416000, 2383639140696105600, 470536087106183748000, 95188348079916284698296, 19650775121845025331180672
Offset: 1
A006179
Witt vector *4!/4!.
Original entry on oeis.org
1, 52, 5133, 655554, 97772875, 16019720210, 2812609211657, 518332479161091, 99318252448110232, 19600890528520952329, 3966181169996511862429, 818653886943854653597621, 171938262068874336023196923
Offset: 1
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
- H. Gaudier, Relèvement des coefficients binomiaux dans les vecteurs de Witt, Séminaire Lotharingien de Combinatoire. Institut de Recherche Math. Avancée, Université Louis Pasteur, Strasbourg, Actes 16 (1988), 358/S-18, pp. 93-108.
- H. Gaudier, Relèvement des coefficients binomiaux dans les vecteurs de Witt, Séminaire Lotharingien de Combinatoire. Institut de Recherche Math. Avancée, Université Louis Pasteur, Strasbourg, Actes 16 (1988), 358/S-18, pp. 93-107. (Annotated scanned copy)
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