Using the Gun of Mathematical Induction to Conquer Some Theorems of The Mulatu Numbers.
DOI:
https://doi.org/10.53555/nnms.v4i3.546Keywords:
gun, Mathematical induction, conquer, theorems, Mulatu NumbersAbstract
The Mulatu numbers are sequences of numbers of the form 4, 1, 5, 6, 11, 17, 28, 45, .... Thenumbers have wonderful and amazing properties and patterns. In mathematical terms, it is defined by the following recurrence relation: The first number of the sequence is 4, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers of the sequence itself. That is, after two starting values, each number is the sum of the two preceding numbers. In this paper, we give summary of some important properties and patterns of Mulatu numbers. Its relations to the Fibonacci and Lucas numbers are also investigated.
References
Mulatu Lemma, The Mulatu Numbers, Advances and Applications in Mathematical Sciences, Volume 10, issue 4,august 2011, page 431-440.
Burton, D. M., Elementary number theory. New York City, New York: McGrawHill. 1998.
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.