A family of lacunary recurrences for Lucas Numbers
Pankaj Jyoti Mahanta, Manjil P. Saikia
TL;DR
This paper introduces an infinite family of lacunary recurrences for Lucas numbers, derived through combinatorial methods, expanding the understanding of Lucas number properties.
Contribution
It presents a novel family of lacunary recurrences for Lucas numbers, derived using combinatorial techniques, which was not previously known.
Findings
Established an infinite family of lacunary recurrences for Lucas numbers
Used combinatorial methods to derive these recurrences
Enhances understanding of Lucas number properties
Abstract
We prove an infinite family of lacunary recurrences for the Lucas numbers using combinatorial means.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Advanced Combinatorial Mathematics