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Closed-Form Solutions of Second-Order Leonardo-Type Sequences: Homogeneous Counterparts in Jacobsthal and Mersenne Numbers

Asian Journal of Current Research
The objective of this study is to derive explicit closed-form solutions for second-order nonhomogeneous linear recurrence relations with polynomial inputs, formulated as generalized Leonardo-type sequences. A central aspect of the framework is the multiplicity parameter r, which measures the occurrence of the root 1 in the characteristic equation. This
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Closed-Form Solutions of Leonardo-Type Sequences: Pell-Padovan, Jacobsthal-Padovan, and Narayana Families as Homogeneous Counterparts

Asian Journal of Mathematics and Computer Research
Recurrence sequences are widely used mathematical models with applications across many disciplines. Beyond classical second-order sequences, higher-order families such as Tribonacci, Tetranacci, and Pentanacci reveal richer algebraic structures, with the study of their characteristic roots and recurrence relations advancing symbolic recurrence theory ...
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Ordered Leonardo Quadruple Numbers

Symmetry, 2023
Semra Kaya Nurkan
exaly  

Leonardo da Vinci on Wear

Biotribology, 2021
W Gregory Sawyer
exaly  

On Gaussian Leonardo Hybrid Polynomials

Symmetry, 2023
Tulay Yagmur
exaly  

Leonardo da Vinci׳s studies of friction

Wear, 2016
Ian M Hutchings
exaly  

Some Sequence Spaces Using Leonardo Numbers

The Fibonacci Quarterly
Mrutyunjaya Meher, Prasanta Kumar Ray
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Revealing the sfumato Technique of Leonardo da Vinci by X‐Ray Fluorescence Spectroscopy

Angewandte Chemie - International Edition, 2010
Philippe Walter
exaly  

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