The Fascinating Double Angle Formulas of the Mulatu Numbers

Authors

  • Mulatu Lemma Savannah State University, USA
  • Agegnehu Atena Savannah State University, USA
  • Tilahun Muche Savannah State University, USA

DOI:

https://doi.org/10.31686/ijier.vol4.iss1.504

Keywords:

Mulatu numbers, Mulatu sequences, Fibonacci numbers, Lucas numbers, Fibonacci sequences, Lucas sequences

Abstract

The Mulatu numbers were introduced in [1]. The numbers are sequences of numbers of the form: 4,1,
5,6,11,17,28,45... The numbers have wonderful and amazing properties and patterns.
In mathematical terms, the sequence of
the Mulatu numbers is defined by the following recurrence relation:
mceclip0.png
The double Angel Formulas for Fibonacci and Lucas numbers are given by the following formulas
respectively.
mceclip1.png

Mathematical Subject Classification: 11

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Author Biographies

  • Mulatu Lemma, Savannah State University, USA

    Department of Mathematics, College of Science and Technology

  • Agegnehu Atena, Savannah State University, USA

    Department of Mathematics, College of Science and Technolo

  • Tilahun Muche, Savannah State University, USA

    Department of Mathematics, College of Science and Technology

References

Mulatu Lemma, The Mulatu Numbers, Advances and Applications in Mathematical Sciences, Volume

, issue 4, august 2011, page 431-440.

Mulatu Lemma, The Fascinating Mathematical Beauty of the Mulatu Numbers, Advances and

Applications in Mathematical Sciences, Volume 10, issue 4, November t 2011, page 431-440..

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Published

2016-01-01

How to Cite

Lemma, M., Atena, A., & Muche, T. (2016). The Fascinating Double Angle Formulas of the Mulatu Numbers. International Journal for Innovation Education and Research, 4(1), 25-29. https://doi.org/10.31686/ijier.vol4.iss1.504