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Journals / Avrupa Bilim ve Teknoloji Dergisi / 2026 / Sayı: 34 Özel Sayı

Investigation of Lucas Number Sequence in Term of Information Entropy

Lucas Sayı Dizisinin Bilgi Entropisi Yönünden İncelenmesi

Bünyamin Şahin(SELÇUK ÜNİVERSİTESİ)0000-0003-1094-5481
İhsan Tuğal(MUŞ ALPARSLAN ÜNİVERSİTESİ)0000-0003-1898-9438
Pages
665–671
Publication Date
2022-03-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The obtained results were compared with the harmonic triangle of Leibniz.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Lucas number sequence is obtained by the recurrence relation L_n=L_(n-1)+L_(n-2)with initial terms L_1=1 and L_2=3.
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Key Findings & Data:In this paper, the Lucas number sequence was investigated in term of information entropy.
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Conclusion & Impact:The obtained results were compared with the harmonic triangle of Leibniz.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Entropi · Lucas Sayı Dizisi · Pascal Üçgeni

Abstract

Lucas number sequence is obtained by the recurrence relation L_n=L_(n-1)+L_(n-2)with initial terms L_1=1 and L_2=3. In this paper, the Lucas number sequence was investigated in term of information entropy. The using of number triangles is an always application when the entropy measures of systems are calculated. Since the Fibonacci number sequence can be obtained from Pascal triangle and the Lucas number sequence can be obtained from Lucas triangle, the entropy measures of these triangles were calculated. The obtained results were compared with the harmonic triangle of Leibniz.

Özet

Lucas sayı dizisi, ilk iki terimi L_1=1 ve L_2=3 olmak üzere L_n=L_(n-1)+L_(n-2) indirgeme bağıntısı ile elde edilir. Bu çalışmada Lucas sayı dizisi, bilgi entropisi yönünden incelendi. Sistemlerin entropi değerleri hesaplanırken sayı üçgenlerinden yararlanmak olağan bir uygulamadır. Fibonacci sayıları Pascal üçgeninden ve Lucas sayıları Lucas üçgeninden elde edilebileceğinden, bu üçgenlerin entropisi hesaplandı. Elde edilen sonuçlar Leibniz’in harmonik üçgeniyle kıyaslandı.

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Cite This Article

Şahin, B., Tuğal, İ. (2022). Investigation of Lucas Number Sequence in Term of Information Entropy. Avrupa Bilim ve Teknoloji Dergisi, Sayı: 34 Özel Sayı, 665–671. https://doi.org/10.31590/ejosat.1083933

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References (8)

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