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Journals / Hittite Journal of Science and Engineering / 2016 / Cilt: 3 - Sayı: 2

The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence

Ahmet DAŞDEMİR
Pages
99–104
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Moreover, certain sum formula consisting of the terms of the generalized Jacobsthal p-sequence are given

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are investigated.
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Key Findings & Data:In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are investigated.
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Conclusion & Impact:Moreover, certain sum formula consisting of the terms of the generalized Jacobsthal p-sequence are given
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Jacobsthal sequence · Generating Matrix · Binet Formula

Abstract

In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are investigated. Moreover, certain sum formula consisting of the terms of the generalized Jacobsthal p-sequence are given

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Cite This Article

DAŞDEMİR, A. (2022). The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. Hittite Journal of Science and Engineering, Cilt: 3 - Sayı: 2, 99–104. https://ajindex.com/articles/538092

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References (7)

  1. Stakhov AP. A generalization of the Fibonacci Q-matrix. National Academy of Sciences of Ukraine 9 (1999) 46-49
  2. Stakhov AP, Rozin B. Theory of Binet formulas for Fibonacci and Lucas p-numbers. Chaos Solitions and Fractals 27 (2006) 1162-1177
  3. Kilic E. The Binet formula, sum and representations of generalized Fibonacci p-numbers. European Journal of Combinatorics 29 (2008) 701-711
  4. Horadam AF. Jacobsthal Representation Numbers. Fibonacci Quarterly 34 (1996) 40-54
  5. Cerin Z. Sums of Squares and Products of Jacobsthal Numbers. Journal of Integer Sequences 10 (2007) Article 07.2.5
  6. Chen WYC, Louck JD. The combinatorial power of the companion matrix. Linear Algebra and its Applications 232 (1996) 261-78
  7. Koken F, Dozkurt D. On the Jacobsthal Numbers by Matrix Methods. International Journal of Contemporary Mathematical Sciences 3(13) (2008) 605-614.