Abstract
In this paper, we define a new generalization of the Fibonacci and Lucas p-numbers. Further, we build up the tree diagrams for generalized Fibonacci and Lucas p-sequence and derive the recurrence relations of these sequences by using these diagrams. Also, we show that the generalized Fibonacci and Lucas p-sequences can be reduced into the various number sequences. Finally, we develop Binet formulas for the generalized Fibonacci and Lucas p-numbers and present the numerical and graphical results, which obtained by means of the Binet formulas, for specific values of a, b and p.
Original language | English |
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Pages (from-to) | 657-669 |
Number of pages | 13 |
Journal | Journal of Computational Analysis and Applications |
Volume | 25 |
Issue number | 4 |
Publication status | Published - 2018 |
All Science Journal Classification (ASJC) codes
- Computational Mathematics