Summing Formulas for Generalized Tribonacci Numbers

Yüksel Soykan

doi:10.32323/ujma.637876

EN

Summing Formulas for Generalized Tribonacci Numbers

Abstract

In this paper, closed forms of the summation formulas for generalized Tribonacci numbers are presented. Then, some previous results are recovered as particular cases of the present results. As special cases, we give summation formulas of Tribonacci, Tribonacci-Lucas, Padovan, Perrin, Narayana and some other third order linear recurrance sequences. All the summing formulas of well known recurrence sequences which we deal with are linear except the cases Pell-Padovan and Padovan-Perrin.

Keywords

Tribonacci numbers,Padovan numbers, Perrin numbers,Sum formulas

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Yüksel Soykan ^*
0000-0002-1895-211X
Türkiye

Publication Date

March 25, 2020

Submission Date

October 24, 2019

Acceptance Date

December 11, 2019

Published in Issue

Year 2020 Volume: 3 Number: 1

DOI

https://doi.org/10.32323/ujma.637876

IZ

https://izlik.org/JA33DU54DR

APA

Soykan, Y. (2020). Summing Formulas for Generalized Tribonacci Numbers. Universal Journal of Mathematics and Applications, 3(1), 1-11. https://doi.org/10.32323/ujma.637876

AMA

1.Soykan Y. Summing Formulas for Generalized Tribonacci Numbers. Univ. J. Math. Appl. 2020;3(1):1-11. doi:10.32323/ujma.637876

Chicago

Soykan, Yüksel. 2020. “Summing Formulas for Generalized Tribonacci Numbers”. Universal Journal of Mathematics and Applications 3 (1): 1-11. https://doi.org/10.32323/ujma.637876.

EndNote

Soykan Y (March 1, 2020) Summing Formulas for Generalized Tribonacci Numbers. Universal Journal of Mathematics and Applications 3 1 1–11.

IEEE

[1]Y. Soykan, “Summing Formulas for Generalized Tribonacci Numbers”, Univ. J. Math. Appl., vol. 3, no. 1, pp. 1–11, Mar. 2020, doi: 10.32323/ujma.637876.

ISNAD

Soykan, Yüksel. “Summing Formulas for Generalized Tribonacci Numbers”. Universal Journal of Mathematics and Applications 3/1 (March 1, 2020): 1-11. https://doi.org/10.32323/ujma.637876.

JAMA

1.Soykan Y. Summing Formulas for Generalized Tribonacci Numbers. Univ. J. Math. Appl. 2020;3:1–11.

MLA

Soykan, Yüksel. “Summing Formulas for Generalized Tribonacci Numbers”. Universal Journal of Mathematics and Applications, vol. 3, no. 1, Mar. 2020, pp. 1-11, doi:10.32323/ujma.637876.

Vancouver

1.Yüksel Soykan. Summing Formulas for Generalized Tribonacci Numbers. Univ. J. Math. Appl. 2020 Mar. 1;3(1):1-11. doi:10.32323/ujma.637876