Closed form continued fraction expansions for the powers of Generalized Lucas golden proportion

Kiran P. Gajera; Dr. Devbhadra V. Shah

doi:https://doi.org/10.14445/22315373/IJMTT-V20P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 20 | Number 2 | Year 2015 | Article Id. IJMTT-V20P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V20P515

Closed form continued fraction expansions for the powers of Generalized Lucas golden proportion

Kiran P. Gajera, Dr. Devbhadra V. Shah

Abstract

In this paper by using elementary properties of the recurrence relation and the continued fractions we find the closed form continued fraction expansion for any positive integer k.

Keywords

Lucas sequence, Generalized Lucas sequence, Continued fraction, Golden proportion.

References

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Citation :

Kiran P. Gajera, Dr. Devbhadra V. Shah, "Closed form continued fraction expansions for the powers of Generalized Lucas golden proportion," International Journal of Mathematics Trends and Technology (IJMTT), vol. 20, no. 2, pp. 113-119, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V20P515