A006173 Witt vector *2!. (Formerly M0174)

2, 1, 4, 13, 44, 135, 472, 1492, 5324, 17405, 63944, 215096, 799416, 2752909, 10310384, 36443256, 137263244, 489166324, 1860249448, 6739795717, 25596173800, 93596253769, 357974884304, 1319325363658, 5056389932088

Offset

1,1

Comments

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

The Somos transform sends sequence {a(n)} to sequence with g.f. Product_{i=1..n} 1/(1-a(i)*x^i).

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..25.

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)

Formula

Inverse Somos transform of A000108 shifted left. - Wouter Meeussen, Aug 20 2002

Witt transform of A060165. - Sean A. Irvine, Jan 15 2017

Crossrefs

Cf. A006177, A006973.

Sequence in context: A088624 A309878 A066409 * A102055 A232376 A350739

Adjacent sequences: A006170 A006171 A006172 * A006174 A006175 A006176

Keyword

nonn

Author

Simon Plouffe

Extensions

Edited by Christian G. Bower, Aug 20 2002

Status

approved