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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 8 | Year 2021 | Article Id. IJMTT-V67I8P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I8P522

A Study On the Recurrence Properties of Generalized Tetranacci Sequence


Yüksel Soykan
Abstract

In this paper, we investigate the recurrence properties of the generalized Tetranacci sequence and present how the generalized Tetranacci sequence at negative indices can be expressed by the sequence itself at positive indices.

Keywords
Tetranacci numbers, Tetranacci sequence, negative indices, recurrence relations.
References

[1] G. S. Hathiwala, D. V. Shah, Binet.Type Formula For The Sequence of Tetranacci Numbers by Alternate Methods, Mathematical Journal of Interdisciplinary Sciences, 6(1) (2017) 37-48.
[2] R. S. Melham, Some Analogs of the Identity F2n+F2n+1=F2 2n+1, Fibonacci Quarterly, (1999) 305-311.
[3] L. R. Natividad, On Solving Fibonacci-Like Sequences of Fourth, Fifth and Sixth Order, International Journal of Mathematics and Computing, 3(2) (2013) 38-40.
[4] Polatlı, E.E., Soykan, Y., A Study on Generalized Fourth-Order Jacobsthal Sequences, Submitted.
[5] B. Singh, P. Bhadouria, O. Sikhwal, K. Sisodiya, A Formula for Tetranacci-Like Sequence, Gen. Math. Notes, 20(2) (2014) 136-141.
[6] N.J.A. Sloane, The on-line encyclopedia of integer sequences, http://oeis.org/
[7] Soykan, Y., Gaussian Generalized Tetranacci Numbers, Journal of Advances in Mathematics and Computer Science, 31(3) (2019) 1-21, Article no.JAMCS.48063.
[8] Soykan, Y., A Study of Generalized Fourth-Order Pell Sequences, Journal of Scienti.c Research and Reports, 25(1-2) (2019) 1-18.
[9] Soykan, Y., On Generalized 4-primes Numbers, Int. J. Adv. Appl. Math. and Mech. 7(4) (2020) 20-33.
[10] Soykan, Y., Properties of Generalized (r,s,t,u)-Numbers, Earthline Journal of Mathematical Sciences, 5(2) (2021) 297-327. https://doi.org/10.34198/ejms.5221.297327
[11] M. E. Waddill, Another Generalized Fibonacci Sequence, M. E., Fibonacci Quarterly, 5(3) (1967) 209-227.
[12] M. E. Waddill, The Tetranacci Sequence and Generalizations, Fibonacci Quarterly, (1992) 9-20.

Citation :

Yüksel Soykan, "A Study On the Recurrence Properties of Generalized Tetranacci Sequence," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 8, pp. 185-192, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I8P522

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