A006173 Witt vector *2!.

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

Author

Simon Plouffe

Keywords

• nonn

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

• 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)

Crossrefs

Cf. A006177, A006973.

Formula

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

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

Extensions

Edited by Christian G. Bower, Aug 20 2002