Research Article

Generalization of an Integer Sequence Associated with Tribonacci Numbers

Number: 39 July 31, 2022
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Generalization of an Integer Sequence Associated with Tribonacci Numbers

Abstract

In this paper we first consider an integer sequence which enumerates the number of subsets of S of the set [n]={1,2, . . . ,n } containing no three consecutive odd integers. Then we generalize this sequence to a polynomial sequence which is associated with the Tribonacci polynomials. Next, we obtain some basic properties of the polynomial sequence.

Keywords

References

  1. Arslan, B. and Uslu, K. (2021). Number of Subsets of the Set [n] Including No Three Consecutive Odd Integers, European Journal of Science and Technology, (28), pp. 352-356.
  2. Bueno, A. C. F. (2015). A note on generalized Tribonacci sequence, Notes on Number Theory and Discrete Mathematics, 21, pp. 67-69.
  3. Hoggatt V. E. and Bicknell, M. (1973). Generalized Fibonacci polynomials, Fibonacci Quarterly, Vol. 11, pp. 457–465.
  4. Kocer E. G. and Gedikli, H. (2016). Trivariate Fibonacci and Lucas polynomials,’’ Konuralp J. Math., 4, pp. 247–254.
  5. Koshy, T. (2011). Fibonacci and Lucas Numbers with Applications, Wiley Interscience Publications, New York.
  6. Ramirez, J. L. and Sirvent, V. F. (2014). Incomplete Tribonacci Numbers and Polynomials, Journal of Integer Sequences, 17, Article 14.4.2.
  7. Rybołowicz, B. & Tereszkiewicz, A. (2018). Generalized Tricobsthal and generalized Tribonacci polynomials,” Applied Mathematics and Computation, 325, pp. 297–308.
  8. Yilmaz, N. and Taskara, N. (2014). Incomplete Tribonacci–Lucas Numbers and Polynomials.’’ Advances in Applied Clifford Algebras, 25, pp. 741-753.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

July 31, 2022

Submission Date

July 15, 2022

Acceptance Date

July 26, 2022

Published in Issue

Year 2022 Number: 39

DOI

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

IZ

https://izlik.org/JA32NZ44AU

Cite

RIS / Bibtex
APA
Arslan, B., & Uslu, K. (2022). Generalization of an Integer Sequence Associated with Tribonacci Numbers. Avrupa Bilim Ve Teknoloji Dergisi, 39, 33-38. https://doi.org/10.31590/ejosat.1144208
AMA
1.Arslan B, Uslu K. Generalization of an Integer Sequence Associated with Tribonacci Numbers. EJOSAT. 2022;(39):33-38. doi:10.31590/ejosat.1144208
Chicago
Arslan, Barış, and Kemal Uslu. 2022. “Generalization of an Integer Sequence Associated With Tribonacci Numbers”. Avrupa Bilim Ve Teknoloji Dergisi, nos. 39: 33-38. https://doi.org/10.31590/ejosat.1144208.
EndNote
Arslan B, Uslu K (July 1, 2022) Generalization of an Integer Sequence Associated with Tribonacci Numbers. Avrupa Bilim ve Teknoloji Dergisi 39 33–38.
IEEE
[1]B. Arslan and K. Uslu, “Generalization of an Integer Sequence Associated with Tribonacci Numbers”, EJOSAT, no. 39, pp. 33–38, July 2022, doi: 10.31590/ejosat.1144208.
ISNAD
Arslan, Barış - Uslu, Kemal. “Generalization of an Integer Sequence Associated With Tribonacci Numbers”. Avrupa Bilim ve Teknoloji Dergisi. 39 (July 1, 2022): 33-38. https://doi.org/10.31590/ejosat.1144208.
JAMA
1.Arslan B, Uslu K. Generalization of an Integer Sequence Associated with Tribonacci Numbers. EJOSAT. 2022;:33–38.
MLA
Arslan, Barış, and Kemal Uslu. “Generalization of an Integer Sequence Associated With Tribonacci Numbers”. Avrupa Bilim Ve Teknoloji Dergisi, no. 39, July 2022, pp. 33-38, doi:10.31590/ejosat.1144208.
Vancouver
1.Barış Arslan, Kemal Uslu. Generalization of an Integer Sequence Associated with Tribonacci Numbers. EJOSAT. 2022 Jul. 1;(39):33-8. doi:10.31590/ejosat.1144208