Araştırma Makalesi

Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers.

Sayı: 28 30 Kasım 2021
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Avrupa Bilim ve Teknoloji Dergisi
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Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers.

Öz

For every natural number, let the sequence enumerate the number of subsets S of the set {1,2, . . . ,n } including no three consecutive odd integers. We give the generating function and the closed form formula of the sequence obtaining sixth order linear homogeneous recurrence relation with constant coefficients of the integer sequence. The sequence is associated with the Tribonacci sequence. The combinatorial representation of the sequence is obtained and limit of the ratios of consecutive terms of the sequence is found.

Anahtar Kelimeler

Kaynakça

  1. Bueno, A. C. F. (2015). A note on generalized Tribonacci sequence, Notes on Number Theory and Discrete Mathematics, 21, 67-69.
  2. Feinberg, M. (1963). Fibonacci–Tribonacci, Fibonacci Quarterly, 1, 71–74.
  3. Pethe, S. (1988). Some Identities for Tribonacci sequences, Fibonacci Q., 26, 144–151.
  4. Ramirez, J. L. and Sirvent, V. F. (2014), Incomplete Tribonacci numbers and polynomials, Journal of Integer Sequences, 17 Article 14.4.2.
  5. Shannon, A. (1977). Tribonacci numbers and Pascal’s pyramid, Fibonacci Q., 15, 268–275.
  6. Spickerman, W. and Joyner, R. N. Binets’s formula for the Recursive sequence of Order K, Fibonacci Q., 22, 327–331.
  7. Spickerman, W. (1982). Binet’s formula for the Tribonacci sequence, Fibonacci Q., 20, (118-120).
  8. Wilf, H. S. (1990). Generatingfunctionology, Academic Press.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Kasım 2021

Gönderilme Tarihi

23 Eylül 2021

Kabul Tarihi

24 Eylül 2021

Yayımlandığı Sayı

Yıl 2021 Sayı: 28

DOI

https://doi.org/10.31590/ejosat.999521

IZ

https://izlik.org/JA89XY54AY

Kaynak Göster

RIS / Bibtex
APA
Arslan, B., & Uslu, K. (2021). Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers. Avrupa Bilim ve Teknoloji Dergisi, 28, 352-356. https://doi.org/10.31590/ejosat.999521
AMA
1.Arslan B, Uslu K. Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers. EJOSAT. 2021;(28):352-356. doi:10.31590/ejosat.999521
Chicago
Arslan, Barış, ve Kemal Uslu. 2021. “Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers”. Avrupa Bilim ve Teknoloji Dergisi, sy 28: 352-56. https://doi.org/10.31590/ejosat.999521.
EndNote
Arslan B, Uslu K (01 Kasım 2021) Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers. Avrupa Bilim ve Teknoloji Dergisi 28 352–356.
IEEE
[1]B. Arslan ve K. Uslu, “Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers”., EJOSAT, sy 28, ss. 352–356, Kas. 2021, doi: 10.31590/ejosat.999521.
ISNAD
Arslan, Barış - Uslu, Kemal. “Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers”. Avrupa Bilim ve Teknoloji Dergisi. 28 (01 Kasım 2021): 352-356. https://doi.org/10.31590/ejosat.999521.
JAMA
1.Arslan B, Uslu K. Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers. EJOSAT. 2021;:352–356.
MLA
Arslan, Barış, ve Kemal Uslu. “Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers”. Avrupa Bilim ve Teknoloji Dergisi, sy 28, Kasım 2021, ss. 352-6, doi:10.31590/ejosat.999521.
Vancouver
1.Barış Arslan, Kemal Uslu. Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers. EJOSAT. 01 Kasım 2021;(28):352-6. doi:10.31590/ejosat.999521

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Tribonacci Sayıları ile İlişkili Bir Tamsayı Dizisininin Genellemesi

European Journal of Science and Technology

https://doi.org/10.31590/ejosat.1144208