On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices
Fatih Yilmaz, Durmus Bozkurt
TL;DR
This paper explores the relationships between the permanents of a specific lower-Hessenberg matrix and Fibonacci and Lucas numbers, revealing new mathematical connections.
Contribution
It introduces new formulas linking matrix permanents to Fibonacci and Lucas numbers, expanding understanding of their mathematical interplay.
Findings
Derived formulas connecting matrix permanents with Fibonacci numbers
Established relationships between Lucas numbers and matrix permanents
Enhanced mathematical understanding of Hessenberg matrices
Abstract
At this paper, we derive some relationships between permanents of one type of lower-Hessenberg matrix and the Fibonacci and Lucas numbers and their sums.
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