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Journals / Avrupa Bilim ve Teknoloji Dergisi / 2022 / Sayı: 34

The Polynomial Sequence Generalizing the Integer Sequence which Enumerates the Number of Subsets of the Set [n] Including No Two Consecutive Even Integers

[n] Kümesinin Ardışık İki Çift Tamsayı İçermeyen Alt Kümelerinin Sayısını Veren Tamsayı Dizisini Genelleyen Polinom Dizisi

Barış ARSLAN
Kemal USLU
Pages
164–169
Publication Date
2022-03-31
DOI
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AI Summary & Key Takeaways

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

Some basic properties of the polynomial sequence are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Fibonacci polynomial sequence is an extension of Fibonacci sequence.
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Key Findings & Data:Here we define a polynomial sequence generalizing the integer sequence which enumerates the number of subsets of the set [n] including no two consecutive even integers.
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Conclusion & Impact:Some basic properties of the polynomial sequence are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fibonacci sayıları · Fibonacci Polinomları · Polinom dizisi

Abstract

Fibonacci polynomial sequence is an extension of Fibonacci sequence. Here we define a polynomial sequence generalizing the integer sequence which enumerates the number of subsets of the set [n] including no two consecutive even integers. The polynomial sequence is associated with the Fibonacci polynomials. Some basic properties of the polynomial sequence are obtained.

Özet

Fibonacci polinom dizisi Fibonacci dizisinin bir genişlemesidir. Burada [n] kümesinin ardışık iki tamsayı içermeyen alt kümelerinin sayısını veren tamsayı dizisini genelleyen bir polinom dizisi tanımladık. Bu polinom dizisi Fibonacci polinomları ile ilişkilendirildi. Polinom dizisinin bazı temel özellikleri elde edildi.

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Cite This Article

ARSLAN, B., USLU, K. (2022). The Polynomial Sequence Generalizing the Integer Sequence which Enumerates the Number of Subsets of the Set [n] Including No Two Consecutive Even Integers. Avrupa Bilim ve Teknoloji Dergisi, Sayı: 34, 164–169. https://ajindex.com/articles/469923

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References (6)

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