Article
Divisibility of Generalized Catalan Numbers and Raney Numbers
Journal of Computational Analysis and Applications
(2019)
Abstract
The Raney numbers, also called Fuss-Catalan numbers, are defined by Rk(n, r) = r(...)/(kn + r). A generalized Lobb numbers is introduced. The relationship between Raney numbers and generalized Lobb numbers and the relationship between generalized Lobb numbers and generalized Catalan numbers are given. Based on the relationships among Raney numbers, generalized Lobb numbers, and generalized Catalan numbers, we present the divisibility of a certain class of those numbers.
Keywords
- Catalan numbers,
- divisibility,
- Fuss-Catalan numbers,
- generalized Catalan numbers,
- generalized Lobb numbers,
- Lobb numbers,
- Raney numbers
Disciplines
Publication Date
2019
Publisher Statement
The Journal of Computational Analysis and Applications is published by Eudoxus Press, LLC. For more information about this journal please visit Eudoxus Press online.
Citation Information
Tian-Xiao He, Jacob Bobrowski and Peter J.-S. Shiue. "Divisibility of Generalized Catalan Numbers and Raney Numbers" Journal of Computational Analysis and Applications Vol. 26 Iss. 6 (2019) p. 1047 - 1058 ISSN: 1521-1398 Available at: http://works.bepress.com/tian_xiao_he/91/