Yıl 2020, Cilt 5 , Sayı 3, Sayfalar 280 - 284 2020-12-30

In [6], Deveci defined the Pell-Fibonacci sequence as follows: P − F (n + 4) = 3P − F (n + 3) − 3P − F (n + 1) − P − F (n) for n ≥ 0 with initial constants P − F (0) = P − F (1) = P − F (2) = 0,P − F (3) = 1. Also, he derived the permanental and determinantal representations of the Pell-Fibonacci numbers and he obtained miscellaneous properties of the Pell-Fibonacci numbers by the aid of the generating function and the generating matrix of the Pell-Fibonacci sequence. The linear recurrence sequences appear in modern research in many fields from mathematics, physics, computer, architecture to nature and art; see, for example, [2, 4, 13, 18]. In this paper, we obtain the cyclic groups which are produced by generating matrix of the Pell-Fibonacci sequence when read modulo m. Furthermore, we research the Pell-Fibonacci sequence modulo m, and then we derive the relationship between the order the cyclic groups obtained and the periods of the Pell-Fibonacci sequence modulo m.
The Pell-Fibonacci sequence, Modulo, Period
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Birincil Dil en
Konular Fen
Bölüm Volume V Issue III 2020
Yazarlar

Orcid: 0000-0001-7168-8429
Yazar: Yeşim AKÜZÜM (Sorumlu Yazar)
Kurum: Kafkas University
Ülke: Turkey


Tarihler

Yayımlanma Tarihi : 30 Aralık 2020

Bibtex @araştırma makalesi { tjos840810, journal = {Turkish Journal of Science}, issn = {2587-0971}, eissn = {2587-0971}, address = {KED YAYINCILIK LTD. ŞTİ. Ağrı}, publisher = {Ahmet Ocak AKDEMİR}, year = {2020}, volume = {5}, pages = {280 - 284}, doi = {}, title = {The Pell-Fibonacci Sequence Modulo m}, key = {cite}, author = {Aküzüm, Yeşim} }
APA Aküzüm, Y . (2020). The Pell-Fibonacci Sequence Modulo m . Turkish Journal of Science , 5 (3) , 280-284 . Retrieved from https://dergipark.org.tr/tr/pub/tjos/issue/59057/840810
MLA Aküzüm, Y . "The Pell-Fibonacci Sequence Modulo m" . Turkish Journal of Science 5 (2020 ): 280-284 <https://dergipark.org.tr/tr/pub/tjos/issue/59057/840810>
Chicago Aküzüm, Y . "The Pell-Fibonacci Sequence Modulo m". Turkish Journal of Science 5 (2020 ): 280-284
RIS TY - JOUR T1 - The Pell-Fibonacci Sequence Modulo m AU - Yeşim Aküzüm Y1 - 2020 PY - 2020 N1 - DO - T2 - Turkish Journal of Science JF - Journal JO - JOR SP - 280 EP - 284 VL - 5 IS - 3 SN - 2587-0971-2587-0971 M3 - UR - Y2 - 2020 ER -
EndNote %0 Turkish Journal of Science The Pell-Fibonacci Sequence Modulo m %A Yeşim Aküzüm %T The Pell-Fibonacci Sequence Modulo m %D 2020 %J Turkish Journal of Science %P 2587-0971-2587-0971 %V 5 %N 3 %R %U
ISNAD Aküzüm, Yeşim . "The Pell-Fibonacci Sequence Modulo m". Turkish Journal of Science 5 / 3 (Aralık 2020): 280-284 .
AMA Aküzüm Y . The Pell-Fibonacci Sequence Modulo m. TJOS. 2020; 5(3): 280-284.
Vancouver Aküzüm Y . The Pell-Fibonacci Sequence Modulo m. Turkish Journal of Science. 2020; 5(3): 280-284.
IEEE Y. Aküzüm , "The Pell-Fibonacci Sequence Modulo m", Turkish Journal of Science, c. 5, sayı. 3, ss. 280-284, Ara. 2021