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Dergiler / Gazi University Journal of Science / 2018 / Cilt: 31 - Sayı: 1

PISANO PERIODS FOR THE k-FIBONACCI AND k-LUCAS SEQUENCES MOD 2ⁿ

Gül ÖZKAN KIZILIRMAK
Sayfa
213–220
Yayın Tarihi
2018-03-01
DOI
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The goal of this paper is to investigate period of k-Lucas sequence with related divisibility properties, and periods of k- Fibonacci and k-Lucas sequences mod 2n .

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The goal of this paper is to investigate period of k-Lucas sequence with related divisibility properties, and periods of k- Fibonacci and k-Lucas sequences mod 2n .
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Temel Bulgular & Veri:The goal of this paper is to investigate period of k-Lucas sequence with related divisibility properties, and periods of k- Fibonacci and k-Lucas sequences mod 2n .
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Sonuç & Katkı:The goal of this paper is to investigate period of k-Lucas sequence with related divisibility properties, and periods of k- Fibonacci and k-Lucas sequences mod 2n .
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:k-Fibonacci · k-Lucas

Abstract

The goal of this paper is to investigate period of k-Lucas sequence with related divisibility properties, and periods of k- Fibonacci and k-Lucas sequences mod 2n .

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Bu Makaleye Atıf Yap

KIZILIRMAK, G. Ö. (2018). PISANO PERIODS FOR THE k-FIBONACCI AND k-LUCAS SEQUENCES MOD 2ⁿ. Gazi University Journal of Science, Cilt: 31 - Sayı: 1, 213–220. https://ajindex.com/articles/254684

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Kaynakça (11)

  1. Bolat, C. and Köse, H., “On the Properties of k-Fibonacci Numbers”, Int J.Contemp.Math.Sciences, 22: 1097-1105, (2010).
  2. Falcon, S. and Plaza, A., “On the Fibonacci k-numbers”, Chaos, Solutions and Fractals, 32: 1615-1624, (2007).
  3. Falcon, S. and Plaza, A., “k-Fibonacci Sequences Modulo m”, Chaos, Solutions and Fractals, 41: 497-504, (2009).
  4. Falcon, S., “On the k-Lucas Numbers”, Int J.Contemp.Math.Sciences, 21: 1039-1050, (2011).
  5. Falcon, S. and Plaza, A., “The k-Fibonacci Sequences and the Pascal 2-triangle”, Chaos, Solutions and Fractals, 33: 38-49, (2007).
  6. Falcon, S. and Plaza, A., “On k-Fibonacci Sequences and Polynomials and their Derivatives”, Chaos, Solutions and Fractals, 39: 1005-1019, (2007).
  7. Kramer, J., Hoggat, V.E., “Special Cases of Fibonacci Periodicity”, 1972.
  8. Niven, I., Zuckerman, H.S.,Montegomery, H.L., “An Introduction to the Theory of Numbers”, 5 nd ed., John Wiley Sons, Inc., 1991.
  9. Rogers, N., Campbell, C.W., “The Period of the Fibonacci Sequence Modulo j”, Phd, The University of Arizona, Tucson, USA, 2007.
  10. Vajda, S., “Fibonacci&Lucas numbers, and the Golden Section, Theory and applications, Ellis Horwood Limited, 1989.
  11. Wall, D.D., “Fibonacci Series Modulo m”, The American Mathematical Monthly, 67: 525-532, (1960).