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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We show that these sequences are periodic or Fibonacci sequences.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We investigate two types altered Lucas numbers denoted and defined by adding or subtracting a value from the square of the Lucas numbers.
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Temel Bulgular & Veri:We achieve these numbers form as the consecutive products of the Fibonacci numbers.
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Sonuç & Katkı:We show that these sequences are periodic or Fibonacci sequences.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Altered Lucas numbers · Greatest common divisor (gcd) sequences · Fibonacci sequence
Abstract
We investigate two types altered Lucas numbers denoted and defined by adding or subtracting a value from the square of the Lucas numbers. We achieve these numbers form as the consecutive products of the Fibonacci numbers. Therefore, consecutive sum-subtraction relations of altered Lucas numbers and their Binet-like formulas are given by using some properties of the Fibonacci numbers. Also, we explore the gcd sequences of r–successive terms of altered Lucas numbers denoted and , , according to the greatest common divisor (gcd) properties of consecutive terms of the Fibonacci numbers. We show that these sequences are periodic or Fibonacci sequences.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
KÖKEN, F., KANKAL, E. (2023). ALTERED NUMBERS OF LUCAS NUMBER SQUARED. Journal of Scientific Reports-A, Sayı: 054, 62–75. https://ajindex.com/articles/964516