Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646569 | Discrete Mathematics | 2017 | 15 Pages |
Abstract
In this paper, by using Riordan arrays and a particular model of lattice paths, we are able to generalize in several ways an identity proposed by Lou Shapiro by giving both an algebraic and a combinatorial proof. The identities studied in this paper allow us to move from an arithmetic progression, and other C-finite sequences, to a geometric progression in terms of Riordan array transformations and vice versa, via the Riordan array inverse.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Donatella Merlini, Renzo Sprugnoli,