A note on congruence properties of the generalized bi-periodic horadam sequence

Elif Tan; Ho Hon Leung

doi:10.15672/hujms.539587

A note on congruence properties of the generalized bi-periodic horadam sequence

Elif Tan, Ho Hon Leung

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we consider a generalization of Horadam sequence {w_n} which is defined by the recurrence w_n = aw_n−1 + cw_n−2, if n is even, w_n = bw_n−1 + cw_n−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 {w_n}.

Original language	English
Pages (from-to)	2084-2093
Number of pages	10
Journal	Hacettepe Journal of Mathematics and Statistics
Volume	49
Issue number	6
DOIs	https://doi.org/10.15672/hujms.539587
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

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10.15672/hujms.539587

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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}.",

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AU - Leung, Ho Hon

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AB - 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}.

KW - Congruence

KW - Generalized Fibonacci sequence

KW - Generalized Lucas sequence

KW - Horadam sequence

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A note on congruence properties of the generalized bi-periodic horadam sequence

Abstract

Keywords

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