On the sum of reciprocal generalized Fibonacci numbers
Pingzhi Yuan, Zilong He, Junyi Zhuo
TL;DR
This paper investigates infinite sums involving reciprocals of generalized Fibonacci numbers, deriving new identities and insights into their mathematical properties.
Contribution
It introduces novel identities for generalized Fibonacci numbers related to their reciprocal sums, expanding understanding of their mathematical structure.
Findings
Derived new identities for reciprocal sums of generalized Fibonacci numbers
Provided analytical expressions for infinite sums involving these sequences
Enhanced theoretical understanding of generalized Fibonacci number properties
Abstract
In this paper, we consider infinite sums derived from the reciprocals of the generalized Fibonacci numbers. We obtain some new and interesting identities for the generalized Fibonacci numbers.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Fractal and DNA sequence analysis · Advanced Mathematical Theories