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

Elif TAN; Ho Hon LEUNG

doi:https://doi.org/10.15672/hujms.539587

Makale detayları

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

Yazarlar:

Elif TAN | Ho Hon LEUNG

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 6, pp.2084-2093

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000450886

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.539587

Özet:

 

In this paper, we consider a generalization of Horadam sequence {wn}{wn}\left\{w_{n}\right\}  which is defined by the recurrence wn=awn−1+cwn−2,wn=awn−1+cwn−2,w_{n}=aw_{n-1}+cw_{n-2}, if nnn is even, wn=bwn−1+cwn−2,wn=bwn−1+cwn−2,w_{n}=bw_{n-1}+cw_{n-2}, if nnn is odd with arbitrary initial conditions w0,w1w0,w1w_{0},w_{1} and nonzero real numbers a,b,a,b,a,b, and c.c.c. We investigate some congruence properties of the generalized Horadam sequence {wn}{wn}\{ w_{n}\}.

Makale detayları

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

Yazarlar: Elif TAN | Ho Hon LEUNG

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 6, pp.2084-2093

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000450886

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.539587

Sayı

Yazarlar:

Elif TAN | Ho Hon LEUNG

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 6, pp.2084-2093

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000450886

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.539587