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Notes on generalized and extended Leonardo numbers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
This paper both extends and generalizes recently published properties which have been developed by many authors for elements of the Leonardo sequence in the context of second-order recursive sequences.
Anthony G. Shannon, Peter J.-S. Shiue, Shen C. Huang   +2 more
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Ordered Leonardo Quadruple Numbers

Symmetry, 2023
In this paper, we introduce a new quadruple number sequence by means of Leonardo numbers, which we call ordered Leonardo quadruple numbers. We determine the properties of ordered Leonardo quadruple numbers including relations with Leonardo, Fibonacci, and Lucas numbers. Symmetric and antisymmetric properties of Fibonacci numbers are used in the proofs.
Semra Kaya Nurkan, İlkay Arslan Güven
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Pell Leonardo numbers and their matrix representations

Journal of New Results in Science
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
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Empirical Evaluation of Unoptimized Sorting Algorithms on 8-Bit AVR Arduino Microcontrollers [PDF]

Sensors
Resource-constrained sensor nodes in Internet-of-Things (IoT) and embedded sensing applications frequently rely on low-cost microcontrollers, where even basic algorithmic choices directly impact latency, energy consumption, and memory footprint.
Julia Golonka, Filip Krużel
doaj   +2 more sources

Special Cases of Generalized Leonardo Numbers : Modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo Numbers

Earthline Journal of Mathematical Sciences, 2022
In this paper, we define and investigate modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo sequences as special cases of the generalized Leonardo sequence. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences.
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Leonardo da Vinci’s Contributions from a Design Perspective

Designs, 2020
The figure of Leonardo da Vinci has been extensively studied. In fact, the Leonardiana Library brings together tens of thousands of titles on Leonardo and his work.
Ernesto Cerveró-Meliá, Salvador F. Capuz-Rizo, Pablo Ferrer-Gisbert   +2 more
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Generalized Bronze Leonardo sequence [PDF]

Notes on Number Theory and Discrete Mathematics
In this study, we define the Bronze Leonardo, Bronze Leonardo–Lucas, and Modified Bronze Leonardo sequences, and some terms of these sequences are given. Then, we give special summation formulas, special generating functions, etc.
Engin Özkan, Hakan Akkuş
doaj   +1 more source

Early Developments of Wireless Remote Control: the Telekino of Torres Quevedo [PDF]

, 2008
The paper presents the life of Leonardo Torres-Quevedo, a Spanish inventor known for a number of ingenious ...
Pérez Yuste, Antonio
core   +2 more sources

Logical minimization for combinatorial structure in FPGA

Informatika, 2021
The paper describes the research results of application efficiency of minimization programs of functional descriptions of combinatorial logic blocks, which are included in digital devices projects that are implemented in FPGA.
P. N. Bibilo, Yu. Yu. Lankevich, V. I. Romanov   +2 more
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Dual Leonardo numbers

AIMS Mathematics, 2023
<abstract><p>This paper introduced the concept of dual Leonardo numbers to generalize the earlier studies in harmony and establish key formulas, including the Binet formula and the generating function. Both were employed to obtain specific elements from the sequence. Moreover, we presented a range of identities that provided deeper insights
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