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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Other scattered results are also presented.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we give explicit formulas for elements of the Fibonacci, and Lucas Pascal triangles.
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Temel Bulgular & Veri:At the end of the study we describe how to determine such a formula for any binary recurrence $\{G_n\}^{\infty}_{n=0}$ satisfying $G_n=G_{n−1}+G_{n−2}$.
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Sonuç & Katkı:Other scattered results are also presented.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generalized Pascal's triangle · Fibonacci sequence · Lucas sequence
Abstract
In this paper, we give explicit formulas for elements of the Fibonacci, and Lucas Pascal triangles. The structure of these objects and Pascal's original triangle coincide. Keeping the rule of addition, we replace both legs of the Pascal triangle by the Fibonacci sequence, and the Lucas sequence, respectively. At the end of the study we describe how to determine such a formula for any binary recurrence $\{G_n\}^{\infty}_{n=0}$ satisfying $G_n=G_{n−1}+G_{n−2}$. Other scattered results are also presented.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
BELBACHİR, H., SZALAY, L. (2022). Fibonacci, and Lucas Pascal triangles. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 5, 1343–1354. https://ajindex.com/articles/530034