Abstract
The generating function for the (colored) Motzkin numbers of higher rank introduced recently is discussed. Considering the special case of rank one yields the corresponding results for the conventional colored Motzkin numbers for which in addition a recursion relation is given. Some explicit expressions are given for the higher rank case in the first few instances.
| Original language | English |
|---|---|
| Article number | 07.7.4 |
| Journal | Journal of Inequalities in Pure and Applied Mathematics |
| Volume | 8 |
| Issue number | 2 |
| State | Published - 2007 |
Keywords
- Catalan number
- Generating function
- Motzkin number
- Recursion relation
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics