BibTex RIS Kaynak Göster
Yıl 2016, , 99 - 104, 31.12.2016
https://doi.org/10.17350/HJSE19030000038

Öz

Kaynakça

  • 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.

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

Yıl 2016, , 99 - 104, 31.12.2016
https://doi.org/10.17350/HJSE19030000038

Öz

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

Kaynakça

  • 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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Ahmet Daşdemir Bu kişi benim

Yayımlanma Tarihi 31 Aralık 2016
Yayımlandığı Sayı Yıl 2016

Kaynak Göster

Vancouver Daşdemir A. The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. Hittite J Sci Eng. 2016;3(2):99-104.

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