Fountains, histograms, and q-identities

We solve the recursion S_n=S_n-1-q^nS_n-p, both, explicitly, and in the limit for n→∞, proving in this way a formula due to Merlini and Sprugnoli. It is also discussed how computer algebra could be applied.

Bibliographic Details
Main Authors: Peter Paule, Helmut Prodinger
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2003-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/336/pdf