Dergi Adı
Journal of Contempor ...
170399
The m−Order Linear Recursive Quaternions
Dişkaya, Orhan | Menken, Hamza
This study considers the m−order linear recursive sequences yielding some well-known sequences (such as the Fibonacci, Lucas, Pell, Jacobsthal, Padovan, and Perrin sequences). Also, the Binet-like formulas and generating functions of the m−order linear recursive sequences have been derived. Then, we define the m−order linear recursive quaternions, and give the Binet-like formulas and generating functions for them.
170467
On the Padovan Triangle
Dişkaya, Orhan | Menken, Hamza
In the present work, we consider the Padovan numbers. Inspiring of the Hosoya’s triangle, we define the Padovan triangle. We give some identities and properties of the Padovan triangle.