Faculty of Computer and Mathematical Science
No Thumbnail Available
Date
2011-02
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Addis Ababa University
Abstract
This project is all about a survey of Fine numbers which is intimately related to the Catalan numbers. Two manifestations are the identity and the generating function identities
The project also gives a unified presentation and history of the so previous results in the literature that mentioned the Fine numbers.
Among the settings that mention the occurrences of the Fine numbers, Dyck paths, Ordered trees, Paths, Path pairs and non-crossing partitions are some of them that will be discussed in section 2 of the paper with full fledged explanation.
And finally the last section, section three presents the statistic relationship between Fine paths an d Dyck paths using both Ordinary and Bivariate generating functions
Description
Keywords
Faculty of Computer and Mathematical