Results 21 to 30 of about 2,715 (213)
On the pulsating (m,c)-Fibonacci sequence
Heliyon, 2021 In this paper, we study new ideas in the generalization of additive and multiplicative pulsating Fibonacci sequences. Then, we construct two types of pulsating Fibonacci sequences of the mth order.
Kittipong Laipaporn +2 more
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Fibonacci sequences in groupoids [PDF]
Advances in Difference Equations, 2012 Abstract In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way. Thus, it becomes a question of interest to decide when these two ways are equivalent, i.e., when they produce the same sequence for the same ...
Han, Jeong Soon +2 more
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Conway's Subprime Fibonacci Sequences [PDF]
Mathematics Magazine, 2014 18 pages, 5 ...
Guy, Richard K. +2 more
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Fibonacci Ideal Convergence on Intuitionistic Fuzzy Normed Linear Spaces
Fuzzy Information and Engineering, 2022 The main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion.
Ömer Kişi, Pradip Debnath
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Identities relating six members of the Fibonacci family of sequences
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we prove several identities each relating a sum of products of three terms coming from different members of the Fibonacci family of sequences with a comparable sum whose terms come from three other sequences.
R. Frontczak, T. Goy, M. Shattuck
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The Fibonacci-circulant sequences in the binary polyhedral groups [PDF]
International Journal of Group Theory, 2021 In 2017 Deveci et al. defined the Fibonacci-circulant sequences of the first and second kinds as shown, respectively:x_n^1 = -x_(n-1)^1+x_(n-2)^1-x_(n-3)^1 for n≥4,where x_1^1=x_2^1=0 and x_3^1=1andx_n^2 = -x_(n-3)^2-x_(n-4)^2+x_(n-5)^2 for n≥6 ...
Erdal Karaduman, Omur Deveci
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On Certain Power Horadam Sequences
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2022 In this study, firstly, we analyzed power Fibonacci sequences defined by Ide and Renault in [13]. Then, we described two power Horadam sequences modulo s for u=1,v=3 and u=3,v=1, respectively. We determined those modulus s for which the two power Horadam
Çağla Çelemoğlu +2 more
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Generalized Fibonacci-like sequence and Fibonacci sequence
International Journal of Contemporary Mathematical Sciences, 2014 Every term in the Fibonacci Sequence can be determined recursively with the help of initial values F0 = 0, F1 = 1. Similar is the case with Lucas Sequence. In this paper, we study Generalized Fibonacci-Like sequence {Dn} defined by the recurrence relation Dn = Dn-1 + Dn-2, for all n 2 with D0 = 2 and D1 = 1+m, m being a fixed positive integer.
Sanjay Harne +2 more
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Power Fibonacci sequences in quadratic integer modulo m [PDF]
Notes on Number Theory and Discrete MathematicsThe power Fibonacci sequence in ℤₘ[√δ] is defined as a Fibonacci sequence Fₙ=Fₙ₋₁+Fₙ₋₂ where F₀=1 and F₁=a, such that a∈ℤₘ[√δ] and Fₙ≡aⁿ(mod m), for all n∈ℕ∪{0}. In this paper, we investigated the existence of power Fibonacci sequences in ℤₘ[√δ], and the
Paul Ryan A. Longhas +3 more
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Complete k-ary trees and generalized meta-Fibonacci sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We show that a family of generalized meta-Fibonacci sequences arise when counting the number of leaves at the largest level in certain infinite sequences of k-ary trees and restricted compositions of an integer.
Chris Deugau, Frank Ruskey
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