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On the reciprocal sum of Jacobsthal numbers

Number Theory 2022-07-27 v1

Abstract

In this paper, we study the reciprocal sums of the Jacobsthal numbers. We establish many results on the infinite sum and alternating infinite sum of the reciprocals of Jacobsthal numbers and square Jacobsthal numbers.

Keywords

Cite

@article{arxiv.2207.12857,
  title  = {On the reciprocal sum of Jacobsthal numbers},
  author = {Ahmed Gaber},
  journal= {arXiv preprint arXiv:2207.12857},
  year   = {2022}
}

Comments

7 pages