Results 41 to 50 of about 648 (170)
Exact Solutions and Stability of Fourth Order Systems of Difference Equations Using Padovan Numbers
International Journal of Analysis and Applications, 2022 Difference equations are widely utilized to describe some phenomena arising in nonlinear sciences. In particular, systems of difference equations play an important role in investigating most nonlinear applications.
Marwa M. Alzubaidi
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A note on Mersenne Padovan and Perrin numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2021 In this paper, we determine all the Mersenne numbers which are in the sequences of Padovan and Perrin numbers, respectively.
Bir Kafle +2 more
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On the intersection of Padovan, Perrin sequences and Pell, Pell-Lucas sequences [PDF]
, 2021 In this paper, we find all the Padovan and Perrin numbers which are Pell or Pell-Lucas ...
Rihane, Salah Eddine, Togbé, Alain
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Gaussian Padovan and Gaussian Perrin numbers and properties of them [PDF]
, 2019 In this paper, the Gaussian Padovan and Gaussian Perrin numbers are defined. Then Binet formula and generating functions of these numbers are given. Also, some summation identities for Gaussian Padovan and Gaussian Perrin numbers are obtained by using ...
Kartal, Meral Yasar
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Padovan and Perrin numbers of the form 7ᵗ-5ᶻ-3ʸ-2ˣ [PDF]
Notes on Number Theory and Discrete MathematicsConsider the Padovan sequence (pₙ)ₙ≥₀ given by pₙ₊₃=pₙ₊₁+pₙ with p₀=p₁=p₂=1. Its companion sequence, the Perrin sequence (℘ₙ)ₙ≥₀, follows the same recursive formula as the Padovan numbers, but with different initial values: p₀=3, p₁=0 and p₂=2.
Djamel Bellaouar +2 more
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Avoiding patterns in irreducible permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 We explore the classical pattern avoidance question in the case of irreducible permutations, i.e., those in which there is no index $i$ such that $\sigma (i+1) - \sigma (i)=1$.
Jean-Luc Baril
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k-Fibonacci numbers which are Padovan or Perrin numbers
Indian Journal of Pure and Applied Mathematics, 2022 Let \( \{P_m\}_{m\ge 0} \) be the sequence of Padovan numbers defined by the linear recurrence: \( P_0=P_1=P_2=1 \), and \( P_{m+3}=P_{m+1}+P_m \) for all \( m\ge 0 \). Also, let \( \{E_m\}_{m\ge 0} \) be the sequence of Perrin numbers defined by the linear recurrence: \( E_0=3,~E_1=0,~E_2=2 \), and \( E_{m+3}=E_{m+1}+E_m \) for all \( m\ge 0 ...
Salah Eddine Rihane, Alain Togbé
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Powers of Two as Sums of Two Padovan Numbers
Integers, 2018 See the abstract in the attached pdf.
Ana Cecilia García Lomelí +1 more
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Groundwater, EarlyView.Pit lakes in semiarid and arid regions are often assumed to be terminal sinks for groundwater following mine closure. Using synthetic numerical modeling, we demonstrate that evaporation‐driven density gradients can reverse this behavior, transforming pit lakes into throughflow systems and potentially increasing salinity in adjacent aquifers.
Birte Moser +3 more
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Ecology and Evolution, Volume 16, Issue 6, June 2026.The biology of gall‐forming fergusoninid flies and their obligate nematode mutualists suggests strict vertical transmission of nematodes between fly generations. Using mitochondrial sequence data to associate fly and nematode haplotypes, we found widespread intraspecific horizontal transfer in multiple species.
Sonja J. Scheffer +10 more
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