On the reciprocal sum of Jacobsthal numbers
Ahmed Gaber
TL;DR
This paper investigates the properties of the reciprocal sums of Jacobsthal numbers, including their infinite and alternating sums, providing new mathematical insights into their behavior.
Contribution
It presents new results on the infinite and alternating reciprocal sums of Jacobsthal numbers and their squares, expanding understanding of their mathematical properties.
Findings
Derived formulas for the infinite reciprocal sum of Jacobsthal numbers
Established results for the alternating reciprocal sum of Jacobsthal numbers
Analyzed reciprocal sums of square Jacobsthal numbers
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.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Experimental and Theoretical Physics Studies