TL;DR
This paper evaluates binomial sums involving powers of Fibonacci and Lucas numbers, providing new identities and formulas that deepen understanding of these classical sequences.
Contribution
It introduces novel binomial sum identities involving Fibonacci and Lucas numbers, expanding the mathematical toolkit for these sequences.
Findings
Derived new binomial sum identities for Fibonacci numbers
Extended existing formulas to include Lucas numbers
Provided applications to combinatorial identities
Abstract
We evaluate various binomial sums involving the powers of Fibonacci and Lucas numbers.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Graph Labeling and Dimension Problems · Advanced Mathematical Theories