A074653 -id:A074653 - cp's OEIS frontend

A006176 Witt vector *5!.

120, 49500, 55480000, 75108093750, 124667171985024, 226899085942554400, 453922674315047424000, 954267187464733528198125, 2112236210012497151219800000, 4825706564405954731805322783552

Offset: 1

Simon Plouffe

nonn

If c is the Witt transform of b then b(n) = Sum_{d|n} A074650(n/d, c(d)).

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)

Witt transform of A074653.

More terms and formula from Christian G. Bower, Aug 28 2002

A074657 Number of Lyndon words (aperiodic necklaces) with 5n beads of 5 colors, n beads of each color.

Original entry on oeis.org

1, 24, 11328, 11211192, 15277006080, 24934429725000, 45695805580701504, 90784545100668913368, 191417861328822311040000, 422458626725600682506889600, 966695515158024385775097720000, 2277925055026596846727033776223416, 5499697195473757755136472944165075200

Offset: 0

Christian G. Bower, Aug 29 2002

nonn

Index entries for sequences related to Lyndon words

a(n) = A074653(n)/5. a(n)=A074654(n)*24.

1/(5n) * sum over d|n of {mu(n/d) * (5d)! / d!^5}.

a(0)=1 prepended by Alois P. Heinz, Aug 24 2015

cp's OEIS Frontend

A006176 Witt vector *5!.

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