On a Generalized Tribonacci Sequence

  • Yuksel Soykan Department of Mathematics, Faculty of Art and Science, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey https://orcid.org/0000-0002-1895-211X
  • Inci Okumus Department of Mathematics, Faculty of Art and Science, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey
Keywords: Tribonacci numbers; Tribonacci sequences.

Abstract

The well known Tribonacci sequence is a third order recurrence sequence. In this paper, we define other generalized Tribonacci sequence and establish some properties of this sequence using matrix methods.

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References

[1] Bruce, I., A modified Tribonacci sequence, The Fibonacci Quarterly, 22:3, pp. 244-246, 1984.
[2] Feinberg, M., Fibonacci-Tribonacci, The Fibonacci Quarterly, 1:3 (1963) pp. 71-74, 1963.
[3] Scott, A., Delaney, T., Hoggatt Jr., V., The Tribonacci sequence, The Fibonacci Quarterly, 15:3, pp. 193-200, 1977.
[4] Shannon, A., Tribonacci numbers and Pascal's pyramid, The Fibonacci Quarterly, 15:3, pp. 268-275, 1977.
[5] N.J.A. Sloane, The on-line encyclopedia of integer sequences, http://oeis.org/
[6] Spickerman, W., Binet's formula for the Tribonacci sequence, The Fibonacci Quarterly, 20, pp.118-120, 1981.
[7] Yalavigi, C. C., Properties of Tribonacci numbers, The Fibonacci Quarterly, 10:3, pp. 231-246, 1972.
Published
2019-01-11
How to Cite
Soykan, Y., & Okumus, I. (2019). On a Generalized Tribonacci Sequence. Journal of Progressive Research in Mathematics, 14(3), 2413-2418. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1670
Issue
Vol 14 No 3: JPRM
Section
Articles

Copyright (c) 2019 Journal of Progressive Research in Mathematics

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