Research Article

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

Number: 28 November 30, 2021
Avrupa Bilim ve Teknoloji Dergisi Cover
Avrupa Bilim ve Teknoloji Dergisi
PDF Download
EN TR

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

Abstract

Consider an integer sequence counting the number of subsets of S of the set {1,2, . . . ,n } containing no three consecutive even integers. The sequence is associated with the Tribonacci sequence. Furthermore, we investigate some basic properties of the sequence.

Keywords

References

  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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

November 30, 2021

Submission Date

October 12, 2021

Acceptance Date

October 14, 2021

Published in Issue

Year 2021 Number: 28

DOI

https://doi.org/10.31590/ejosat.1008742

IZ

https://izlik.org/JA99SY78NY

Cite

RIS / Bibtex
APA
Arslan, B., & Uslu, K. (2021). Number of Subsets of the Set [n] Including No Three Consecutive Even Integers. Avrupa Bilim Ve Teknoloji Dergisi, 28, 552-556. https://doi.org/10.31590/ejosat.1008742
AMA
1.Arslan B, Uslu K. Number of Subsets of the Set [n] Including No Three Consecutive Even Integers. EJOSAT. 2021;(28):552-556. doi:10.31590/ejosat.1008742
Chicago
Arslan, Barış, and Kemal Uslu. 2021. “Number of Subsets of the Set [n] Including No Three Consecutive Even Integers”. Avrupa Bilim Ve Teknoloji Dergisi, nos. 28: 552-56. https://doi.org/10.31590/ejosat.1008742.
EndNote
Arslan B, Uslu K (November 1, 2021) Number of Subsets of the Set [n] Including No Three Consecutive Even Integers. Avrupa Bilim ve Teknoloji Dergisi 28 552–556.
IEEE
[1]B. Arslan and K. Uslu, “Number of Subsets of the Set [n] Including No Three Consecutive Even Integers”., EJOSAT, no. 28, pp. 552–556, Nov. 2021, doi: 10.31590/ejosat.1008742.
ISNAD
Arslan, Barış - Uslu, Kemal. “Number of Subsets of the Set [n] Including No Three Consecutive Even Integers”. Avrupa Bilim ve Teknoloji Dergisi. 28 (November 1, 2021): 552-556. https://doi.org/10.31590/ejosat.1008742.
JAMA
1.Arslan B, Uslu K. Number of Subsets of the Set [n] Including No Three Consecutive Even Integers. EJOSAT. 2021;:552–556.
MLA
Arslan, Barış, and Kemal Uslu. “Number of Subsets of the Set [n] Including No Three Consecutive Even Integers”. Avrupa Bilim Ve Teknoloji Dergisi, no. 28, Nov. 2021, pp. 552-6, doi:10.31590/ejosat.1008742.
Vancouver
1.Barış Arslan, Kemal Uslu. Number of Subsets of the Set [n] Including No Three Consecutive Even Integers. EJOSAT. 2021 Nov. 1;(28):552-6. doi:10.31590/ejosat.1008742

Cited By

A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers

European Journal of Science and Technology

https://doi.org/10.31590/ejosat.1113886