Abstract
We introduce and study an invertible transformation on integer sequences related to the Catalan numbers. Transformation pairs are identified among classical sequences. A closely related transformation which we call the generalized Ballot transform is also studied, along with associated transformations. Results concerning the Fibonacci, Jacobsthal and Pell numbers are derived. Finally, we derive results about combined transformations.
| Original language | English |
|---|---|
| Journal | Journal of Integer Sequences |
| Volume | 8 |
| Issue number | 4 |
| Publication status | Published - 20 Sep 2005 |
Keywords
- Catalan numbers
- Fibonacci numbers
- Integer transforms
- Jacobsthal numbers