Dergiler / Mathematical Sciences and Applications E-Notes / 2019 / Cilt: 7 - Sayı: 2
On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences
- Sayfa
- 149–160
- DOI
- —
Abstract
In this paper, we consider the Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas sequences.We introduce the quadra Fibona-Pell,Fibona-Jacobsthal and Pell-Jacobsthal and the hexa Fibona-PellJacobsthal sequences whose compounds are the Fibonacci, Pell and Jacobsthal sequences. We derive theBinet-like formulas, the generating functions and the exponential generating functions of these sequences.Also, we obtain some binomial identities for them.