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.
Original language | American English |
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Journal | Journal of Computational Analysis and Applications |
Volume | 26 |
State | Published - 2019 |
Keywords
- Catalan numbers
- Fuss-Catalan numbers
- Lobb numbers
- Raney numbers
- divisibility
- generalized Catalan numbers
- generalized Lobb numbers
Disciplines
- Applied Mathematics
- Mathematics