Results 111 to 120 of about 903 (200)
Some Subsequences of the Generalized Fibonacci and Lucas Sequences
, 2015 We derive first-order nonlinear homogeneous recurrence relations for certain subsequences of generalized Fibonacci and Lucas sequences.
Kılıç, Emrah, Kılıç, Elif Tan
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Bounds for the k-term Zeckendorf representations of Tribonacci-Lucas numbers with explicit results
Annals of the West University of Timisoara: Mathematics and Computer ScienceZeckendorf proved that every positive integer has a unique representation as a sum of non-consecutive Fibonacci numbers. In this paper, we applied the linear forms in logarithms to the Zeckendorf representation of the Tribonacci-Lucas sequences to find ...
Ousseni Awaou Lare +2 more
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A combined approach to Perrin and Padovan hybrid sequences. [PDF]
Heliyon, 2021 Jafari Petroudi SH +3 more
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Construction of helices from Lucas and Fibonacci sequences
, 2017 By means of two complex-valued functions (depending on an integer parameter P>=1) we construct helices of integer ratio R>=1 related to the so-called Binet formulae for P-Lucas and P-Fibonacci sequences. Based on these functions a new map is defined and we show that its three-dimensional representation is also a helix.
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Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials
Düzce Üniversitesi Bilim ve Teknoloji DergisiIn this study, we investigate the periodic characteristics of Leonardo, Leonardo-Lucas, and Gaussian Leonardo sequences, presenting our findings through lemmas and theorems.
Selime Beyza Özçevik, Abdullah Dertli
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The art of painting chromosome loops. [PDF]
Quant Plant Biol, 2023 Berr A, Chabouté ME.
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A note on the bi-periodic Fibonacci and Lucas matrix sequences
, 2016 In this paper, we introduce the bi-periodic Lucas matrix sequence and present some fundamental properties of this generalized matrix sequence. Moreover, we investigate the important relationships between the bi-periodic Fibonacci and Lucas matrix sequences. We express that some behaviours of bi-periodic Lucas numbers also can be obtained by considering
Coskun, Arzu +2 more
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DETERMINANTAL IDENTITIES FOR k LUCAS SEQUENCE
Journal of New Theory, 2016 Abstaract−In this paper, we defined new relationship between k Lucas sequences and determi- nants of their associated matrices, this approach is different and never tried in k Fibonacci sequence ...
Ashok Dnyandeo Godase +1 more
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On prime powers in linear recurrence sequences. [PDF]
Ann Math Quebec, 2023 Odjoumani J, Ziegler V.
europepmc +1 more source
On the connections between Fibonacci and Mulatu Numbers
IntermathsIn this work, we present a detailed study of the Fibonacci--Mulatu sequence, {FMn}, defined recursively by FMn+2=FMn+1+FMn with initial terms FM0 = 4 and FM1 = 1.
Eudes Antonio Costa +2 more
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