TR
EN
A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers
Öz
Tribonacci polynomial sequence is an extension of Tribonacci numbers. We consider an integer sequence enumerating the number of subsets of S of the set [n]={1,2, . . . ,n } containing no three consecutive even integers. We define a polynomial sequence generalizing this integer sequence. The polynomial sequence is associated with the Tribonacci polynomials. We find the closed form formula and derive some basic properties of the polynomial sequence.
Anahtar Kelimeler
Kaynakça
- Arslan, B. and Uslu, K. (2021). Number of Subsets of the Set [n] Including No Three Consecutive Even Integers, European Journal of Science and Technology, (28), pp. 552-556.
- Bueno, A. C. F. (2015). A note on generalized Tribonacci sequence, Notes on Number Theory and Discrete Mathematics, 21, pp. 67-69.
- Hoggatt V. E. and Bicknell, M. (1973). Generalized Fibonacci polynomials, Fibonacci Quarterly, Vol. 11, pp. 457–465.
- Kocer E. G. and Gedikli, H. (2016). Trivariate Fibonacci and Lucas polynomials,’’ Konuralp J. Math., 4, pp. 247–254.
- Koshy, T. (2011). Fibonacci and Lucas Numbers with Applications, Wiley Interscience Publications, New York.
- Ramirez, J. L. and Sirvent, V. F. (2014). Incomplete Tribonacci Numbers and Polynomials, Journal of Integer Sequences,17, Article 14.4.2.
- Rybołowicz, B. & Tereszkiewicz, A. (2018). Generalized Tricobsthal and generalized Tribonacci polynomials,” Applied Mathematics and Computation, 325, pp. 297–308.
- Yilmaz, N. and Taskara, N. (2014). Incomplete Tribonacci–Lucas Numbers and Polynomials.’’ Advances in Applied Clifford Algebras, 25, pp. 741-753.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Mayıs 2022
Gönderilme Tarihi
8 Mayıs 2022
Kabul Tarihi
9 Mayıs 2022
Yayımlandığı Sayı
Yıl 2022 Sayı: 36
APA
Arslan, B., & Uslu, K. (2022). A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers. Avrupa Bilim ve Teknoloji Dergisi, 36, 185-190. https://doi.org/10.31590/ejosat.1113886
AMA
1.Arslan B, Uslu K. A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers. EJOSAT. 2022;(36):185-190. doi:10.31590/ejosat.1113886
Chicago
Arslan, Barış, ve Kemal Uslu. 2022. “A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers”. Avrupa Bilim ve Teknoloji Dergisi, sy 36: 185-90. https://doi.org/10.31590/ejosat.1113886.
EndNote
Arslan B, Uslu K (01 Mayıs 2022) A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers. Avrupa Bilim ve Teknoloji Dergisi 36 185–190.
IEEE
[1]B. Arslan ve K. Uslu, “A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers”, EJOSAT, sy 36, ss. 185–190, May. 2022, doi: 10.31590/ejosat.1113886.
ISNAD
Arslan, Barış - Uslu, Kemal. “A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers”. Avrupa Bilim ve Teknoloji Dergisi. 36 (01 Mayıs 2022): 185-190. https://doi.org/10.31590/ejosat.1113886.
JAMA
1.Arslan B, Uslu K. A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers. EJOSAT. 2022;:185–190.
MLA
Arslan, Barış, ve Kemal Uslu. “A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers”. Avrupa Bilim ve Teknoloji Dergisi, sy 36, Mayıs 2022, ss. 185-90, doi:10.31590/ejosat.1113886.
Vancouver
1.Barış Arslan, Kemal Uslu. A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers. EJOSAT. 01 Mayıs 2022;(36):185-90. doi:10.31590/ejosat.1113886