Closed-form evaluations of Fibonacci–Lucas reciprocal sums with three factors

Robert Frontczak
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 23, 2017, Number 2, Pages 104–116
Full paper (PDF, 189 Kb)

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Authors and affiliations

Robert Frontczak
Landesbank Baden-Wuerttemberg
Am Hauptbahnhof 2, 70173 Stuttgart, Germany

Abstract

In this article we present expressions for certain types of reciprocal Fibonacci and Lucas sums. The common feature of the sums is that in each case the denominator of the summand consists of a product of three Fibonacci or Lucas numbers.

Keywords

• Fibonacci number
• Lucas number
• Reciprocal sum

AMS Classification

• 11B37
• 11B39

References

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