Binet – Type Formula For The Sequence of Tetranacci Numbers by Alternate Methods

Authors

  • Gautam S. Hathiwala C.K. Pithawala College of Enigneering & Technology, Surat.
  • Devbhadra V. Shah Department of Mathematics, Veer Narmad South Gujarat University, Surat.

DOI:

https://doi.org/10.15415/mjis.2017.61004

Keywords:

Binet formula, Fibonacci sequence, Tetranacci sequence

Abstract

The sequence {Tn} of Tetranacci numbers is defined by recurrence relation Tn= Tn-1 + Tn-2 + Tn-3 + Tn-4; n≥4 with initial condition T0=T1=T2=0 and T3=1. In this Paper, we obtain the explicit formulla-Binet-type formula for Tn by two different methods. We use the concept of Eigen decomposition as well as of generating functions to obtain the result.

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References

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Published

2019-05-23

How to Cite

Gautam S. Hathiwala, and Devbhadra V. Shah. 2019. “Binet – Type Formula For The Sequence of Tetranacci Numbers by Alternate Methods”. Mathematical Journal of Interdisciplinary Sciences 6 (1):37-48. https://doi.org/10.15415/mjis.2017.61004.

Issue

Vol. 6 No. 1 (2017)

Section

Articles

License

 

Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.

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Creative Commons License Mathematical Journal of Interdisciplinary Sciences by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://mjis.chitkara.edu.in
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