On the Reciprocal Sums of Generalized Fibonacci-Like Sequence

Authors

  • Musraini Musraini University of Riau
  • Rustam Efendi University of Riau
  • Endang Lily University of Riau
  • Noor El Goldameir University of Riau
  • Verrel Rievaldo Wijaya University of Riau

Keywords:

Reciprocal sums, generalized Fibonacci-like se- quence

References

Y. K. Gupta, M. Singh, and O. Sikhwal, “Generalized fibonacci-like sequence associated with fibonacci and lucas sequences,” Turkish Journal of Analysis and Number Theory, vol. 2, no. 6, pp. 233–238, 2014.

H. Ohtsuka and S. Nakamura, “On the sum of reciprocal Fibonacci numbers,” Fibonacci Quarterly, vol. 46, no. 2, pp. 153–159, 2008.

Y. Choo, “On the reciprocal sums of products of Fibonacci numbers.” J. Integer Seq., vol. 21, no. 3, pp. 18–3, 2018.

Y. Choo, “On reciprocal sums of products of pell-lucas numbers,” International Journal of Mathematical Analysis, vol. 13, no. 2, pp. 49–57, 2019.

C. Elsner, S. Shimomura, and I. Shiokawa, “Algebraic relations for reciprocal sums of Fibonacci numbers,” Acta Arith, vol. 130, no. 1, pp. 37–60, 2007.

S. H. Holliday and T. Komatsu, “On the sum of reciprocal generalized Fibonacci numbers,” in Proceedings of Integers Conference, 2009.

E. Kilic¸ and T. Arikan, “More on the infinite sum of reciprocal Fibonacci, pell and higher order recurrences,” Applied Mathematics and Computation, vol. 219, no. 14, pp. 7783–7788, 2013.

A. Y. Z. Wang and P. Wen, “On the partial finite sums of the reciprocals of the Fibonacci numbers,” Journal of Inequalities and Applications, vol. 2015, no. 1, pp. 1–13, 2015.

H. Zhang and Z. Wu, “On the reciprocal sums of the generalized Fibonacci sequences,” Advances in Difference Equations, vol. 2013, no. 1, pp. 1–6, 2013.

T. Koshy, Fibonacci and Lucas Numbers with Applications, Volume 2. John Wiley & Sons, 2019.

C. L. Lang and M. L. Lang, “Fibonacci numbers and identities,” arXiv preprint arXiv:1303.5162, 2013.

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Published

2023-02-15

How to Cite

Musraini, M., Efendi, R., Lily, E., Goldameir, N. E., & Wijaya, V. R. (2023). On the Reciprocal Sums of Generalized Fibonacci-Like Sequence. (IJCSAM) International Journal of Computing Science and Applied Mathematics, 9(1), 4–8. Retrieved from https://journal.its.ac.id/index.php/ijcsam/article/view/4660

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