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

Sayı: 34 31 Mart 2022
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The Polynomial Sequence Generalizing the Integer Sequence which Enumerates the Number of Subsets of the Set [n] Including No Two Consecutive Even Integers

Öz

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.

Anahtar Kelimeler

Kaynakça

  1. Andrews, G.E. (2004). Fibonacci numbers and the Rogers-Ramanujan identities, Fibonacci Quarterly, 42(1), 3–19.
  2. Arslan B. (2016). Sequence A279312 in The On-Line Encyclopedia of Integer Sequences, published electronically at https://oeis.org.
  3. Falcon, S. and Plaza, A. (2009). On k-Fibonacci sequences and polynomials and their derivatives, Chaos Solitions and Fractals, 39, 1005-1019.
  4. Hoggatt, Jr. V.E., Bicknell, M. (1973). Generalized Fibonacci polynomials, Fibonacci Quarterly, 11(5), 457-465.
  5. Koshy, T. (2011). Fibonacci and Lucas Numbers with Applications, Wiley Interscience Publications, New York.
  6. Uslu, K. and Arslan B. (2021). The number of subsets of the set [n] containing no two consecutive even integers, JP Journal of Algebra Number Theory and Applications, 52(2), 243-254.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Mart 2022

Gönderilme Tarihi

24 Şubat 2022

Kabul Tarihi

2 Mart 2022

Yayımlandığı Sayı

Yıl 2022 Sayı: 34

Kaynak Göster

APA
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, 34, 164-169. https://doi.org/10.31590/ejosat.1078691
AMA
1.Arslan B, Uslu K. The Polynomial Sequence Generalizing the Integer Sequence which Enumerates the Number of Subsets of the Set [n] Including No Two Consecutive Even Integers. EJOSAT. 2022;(34):164-169. doi:10.31590/ejosat.1078691
Chicago
Arslan, Barış, ve Kemal Uslu. 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, sy 34: 164-69. https://doi.org/10.31590/ejosat.1078691.
EndNote
Arslan B, Uslu K (01 Mart 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 34 164–169.
IEEE
[1]B. Arslan ve K. Uslu, “The Polynomial Sequence Generalizing the Integer Sequence which Enumerates the Number of Subsets of the Set [n] Including No Two Consecutive Even Integers”, EJOSAT, sy 34, ss. 164–169, Mar. 2022, doi: 10.31590/ejosat.1078691.
ISNAD
Arslan, Barış - Uslu, Kemal. “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. 34 (01 Mart 2022): 164-169. https://doi.org/10.31590/ejosat.1078691.
JAMA
1.Arslan B, Uslu K. The Polynomial Sequence Generalizing the Integer Sequence which Enumerates the Number of Subsets of the Set [n] Including No Two Consecutive Even Integers. EJOSAT. 2022;:164–169.
MLA
Arslan, Barış, ve Kemal Uslu. “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, sy 34, Mart 2022, ss. 164-9, doi:10.31590/ejosat.1078691.
Vancouver
1.Barış Arslan, Kemal Uslu. The Polynomial Sequence Generalizing the Integer Sequence which Enumerates the Number of Subsets of the Set [n] Including No Two Consecutive Even Integers. EJOSAT. 01 Mart 2022;(34):164-9. doi:10.31590/ejosat.1078691