Abstract
In this paper, we consider a generalization of Horadam sequence {wn} which is defined by the recurrence wn = awn−1 + cwn−2, if n is even, wn = bwn−1 + cwn−2, if n is odd with arbitrary initial conditions w0, w1 and nonzero real numbers a, b, and c. We investigate some congruence properties of the generalized Horadam sequence {wn}.
Original language | English |
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Pages (from-to) | 2084-2093 |
Number of pages | 10 |
Journal | Hacettepe Journal of Mathematics and Statistics |
Volume | 49 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2020 |
Keywords
- Congruence
- Generalized Fibonacci sequence
- Generalized Lucas sequence
- Horadam sequence
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Statistics and Probability
- Geometry and Topology