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Dergiler / Konuralp Journal of Mathematics / 2021 / Cilt: 9 - Sayı: 1

Some Properties of Leonardo Numbers

Yasemin ALP
E. Gökçen KOÇER
Sayfa
183–189
Yayın Tarihi
2021-04-28
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, using the matrix representation of Leonardo numbers, we obtain some identities of Leonardo numbers.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we consider the Leonardo numbers which is defined by Catarino and Borges.
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Temel Bulgular & Veri:Using Binet's formula of this sequence, we obtain new identities of the Leonardo numbers.
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Sonuç & Katkı:Finally, using the matrix representation of Leonardo numbers, we obtain some identities of Leonardo numbers.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fibonacci number · Lucas number · leonardo number

Abstract

In this paper, we consider the Leonardo numbers which is defined by Catarino and Borges. Using Binet's formula of this sequence, we obtain new identities of the Leonardo numbers. Also , we give relations among the Fibonacci, Lucas and Leonardo numbers. Finally, using the matrix representation of Leonardo numbers, we obtain some identities of Leonardo numbers.

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Bu Makaleye Atıf Yap

ALP, Y., KOÇER, E. G. (2021). Some Properties of Leonardo Numbers. Konuralp Journal of Mathematics, Cilt: 9 - Sayı: 1, 183–189. https://ajindex.com/articles/786415

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Kaynakça (11)

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  9. N. Tuglu, C. Kızılates and S. Kesim, On the harmonic and hyperharmonic Fibonacci numbers, Advances Difference Equations, Article number: 297 (2015)
  10. Vajda, S., Fibonacci and Lucas numbers and the Golden Section: Theory and Applications, Halsted Press,1989
  11. R. P. M. Vieira, F. R. V. Alves and P. M. Catarino, Relacoes Bidimensiona is E Identidades Da Sequencia De Leonardo, Revista Sergipana de Matematica e Educacao Matematica, No. 2 (2019), 156-173.