Convoluted convolved Fibonacci numbers
| dc.creator | Moree, Pieter | |
| dc.date | 2003-11-12 | |
| dc.date.accessioned | 2026-07-07T05:02:50Z | |
| dc.date.available | 2026-07-07T05:02:50Z | |
| dc.description | The convolved Fibonacci numbers F_j^(r) are defined by (1-z-z^2)^{-r}=\sum_{j>=0}F_{j+1}^(r)z^j. In this note some related numbers that can be expressed in terms of convolved Fibonacci numbers are considered. These numbers appear in the numerical evaluation of a certain number theoretical constant. This note is a case study of the transform {1/n}\sum_{d|n}mu(d)f(z^d)^{n/d}, with f any formal series and mu the Moebius function), which is studied in a companion paper entitled `The formal series Witt transform'. | |
| dc.description | 12 pages, 3 tables | |
| dc.identifier | https://arxiv.org/abs/math/0311205 | |
| dc.identifier | http://arxiv.org/abs/math/0311205 | |
| dc.identifier | J. Integer Seq. 7 (2004), Aricle 04.2.2, pp. 14 (electronic) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69171 | |
| dc.subject | Combinatorics | |
| dc.subject | 11B39; 11B83 | |
| dc.title | Convoluted convolved Fibonacci numbers | |
| dc.type | text |