The Fascinating Double Angle Formulas of the Mulatu Numbers

Authors

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

        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

        203 110

        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

        Issue

        Vol. 4 No. 1 (2016): International Journal for Innovation Education and Research

        Section

        Journal Articles

        License

        Copyright (c) 2016 Mulatu Lemma, Agegnehu Atena, Tilahun Muche

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        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