Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4654175 | European Journal of Combinatorics | 2010 | 9 Pages |
Abstract
We give a short combinatorial proof of a Fine number generating function identity and then explore some of the ramifications in terms of random walks, friendly walkers, and ordered trees. The results are also generalized to obtain similar results including those in Motzkin and Schröder settings.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Gi-Sang Cheon, Sang-Gu Lee, Louis W. Shapiro,