Results 31 to 40 of about 903 (200)
A note on generating primitive Pythagorean triples using matrices [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We present matrices that generate families of primitive Pythagorean triples that arise from generalized Fibonacci sequences. We then present similar results for generalized Lucas sequences and primitive Pythagorean triples.
Jathan Austin
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The GCD Sequences of the Altered Lucas Sequences
Annales Mathematicae Silesianae, 2020 In this study, we give two sequences {L+n}n≥1 and {L−n}n≥1 derived by altering the Lucas numbers with {±1, ±3}, terms of which are called as altered Lucas numbers.
Koken Fikri
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On Third-Order Bronze Fibonacci Numbers
Mathematics, 2021 In this study, we firstly obtain De Moivre-type identities for the second-order Bronze Fibonacci sequences. Next, we construct and define the third-order Bronze Fibonacci, third-order Bronze Lucas and modified third-order Bronze Fibonacci sequences. Then,
Mücahit Akbiyik, Jeta Alo
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A trick around Fibonacci, Lucas and Chebyshev
, 2014 23 pagesInternational audienceIn this article, we present a trick around Fibonacci numbers which can be found in several magic books. It consists in computing quickly the sum of the successive terms of a Fibonacci-like sequence.
Lachal, Aimé
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The m-extension of Fibonacci and Lucas p-difference sequences [PDF]
Filomat, 2019 In this paper we define the m-extension of Fibonacci and Lucas p-difference sequences by using the m-extension of Fibonacci and Lucas p-numbers. We investigate some properties of our new sequences and introduce some relations between the m-extension of Fibonacci and Lucas p-difference sequences and the m-extension of Fibonacci and Lucas p ...
Köme, Cahit, Yazlık, Yasin
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SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE [PDF]
, 2013 This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials.
Dunutrescu, C., Rocsoreanu, C.
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Diophantine equations with Lucas and Fibonacci number coefficients [PDF]
Notes on Number Theory and Discrete MathematicsFibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam +3 more
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There are no multiply-perfect Fibonacci numbers [PDF]
, 2011 Here, we show that no Fibonacci number (larger than 1) divides the sum of its ...
Lewis, Ryan H. +11 more
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Counting the sum of cubes for Lucas and Gibonacci numbers
Science and Technology Indonesia, 2019 Lucas and Gibonacci numbers are two sequences of numbers derived from a welknown numbers, Fibonacci numbers. The difference between Lucas and Fibonacci numbers only lies on the first and second elements.
Wamiliana Wamiliana +2 more
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k-Fibonacci and k-Lucas Differential Equations with New Spirals [PDF]
Mathematics Interdisciplinary ResearchFibonacci sequences and the spirals formed by employing them have found vast applications in creations and natural phenomena. In this study, new k-Fibonacci and k-Lucas differential equations are proposed.
Mehmet Pakdemirli, İhsan Dolapci
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