A note on a bivariate Leonardo sequence

Recently, quite a few generalizations of Leonardo numbers have emerged in the literature. In this short note, we propose a new bivariate extension and provide its generating function. We correct the generating function of another recently proposed bivariate generalization.

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Publication Details

Journal
Notes on Number Theory and Discrete Mathematics
Published
2025-04-01
DOI
https://doi.org/10.7546/nntdm.2025.31.1.73-78
Primary Topic
Digital Image Processing Techniques
Type
article
Field-Weighted Citation Impact
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article

A note on a bivariate Leonardo sequence

Carlos M. da Fonseca, A. G. Shannon
Notes on Number Theory and Discrete Mathematics
Digital Image Processing Techniques
article

A note on a bivariate Leonardo sequence

Carlos M. da Fonseca, A. G. Shannon
article en

Abstract

Recently, quite a few generalizations of Leonardo numbers have emerged in the literature. In this short note, we propose a new bivariate extension and provide its generating function. We correct the generating function of another recently proposed bivariate generalization.

Notes on Number Theory and Discrete MathematicsVol. 31(1)
Openalex Percentile: Top 95%
Digital Image Processing Techniques
DOIOpen Access PDFOpenAlex
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A note on a bivariate Leonardo sequence — Carlos M. da Fonseca, A. G. Shannon · Notes on Number Theory and Discrete Mathematics (2025) | TGRS Research Map | TGRS