Results 11 to 20 of about 1,548,336 (157)
A combined approach to Perrin and Padovan hybrid sequences [PDF]
Heliyon, 2021 Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number.
Seyyed H. Jafari Petroudi +3 more
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On the bi-periodic Padovan sequences [PDF]
Mathematica Moravica, 2023 In this study, we define a new generalization of the Padovan numbers, which shall also be called the bi-periodic Padovan sequence. Also, we consider a generalized bi-periodic Padovan matrix sequence. Finally, we investigate the Binet formulas, generating
Dışkaya Orhan, Menken Hamza
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Axioms, 2022 There is ongoing research into combinatorial methods and approaches for linear and recurrent sequences. Using the notion of a board defined for the Fibonacci sequence, this work introduces the Padovan sequence combinatorial approach.
Renata Passos Machado Vieira +2 more
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A Historical Analysis of The Padovan Sequence [PDF]
International Journal of Trends in Mathematics Education Research, 2020 In the present text, we present some possibilities to formalize the mathematical content and a historical context, referring to a numerical sequence of linear and recurrent form, known as Sequence of Padovan or Cordonnier.
Renata Passos Machado Vieira +2 more
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The Fibonacci-Padovan sequences in finite groups [PDF]
Maejo International Journal of Science and Technology, 2014 The Fibonacci-Padovan sequence modulo m was studied. Also, the Fibonacci-Padovan orbits of -generator finite groups such that was examined. The Fibonacci-Padovan lengths of the groups , and for , where Z is integer, were then obtained.
Sait Tas, Omur Deveci, Erdal Karaduman
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On The Jacobsthal-Padovan p-Sequences in Groups
Topological Algebra and its Applications, 2017 In [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail.
Aküzüm Yesim, Deveci Ömür
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, 2019 The aim of this article is to give some properties of the so-called Padovan sequence $(T_n)_{n \ge 0}$ defined by $$ T_{n+3}=T_{n+1}+T_n \forall n \in \mathbb{N}, T_1=T_2=T_3=1$$ that is divisibility properties, periods, identities.
Faisant, Alain
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The complex-type Padovan-p sequences [PDF]
Mathematica Moravica, 2022 In this paper, we define the complex-type Padovan-p sequence and then give the relationships between the Padovan-p numbers and the complex-type Padovan-p numbers.
Erdağ Özgür +2 more
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Intersection of Padovan and Tribonacci sequences [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Assume that Tₙ is the n-th term of Tribonacci sequence and Pₘ is the m-th term of Padovan sequence. In this paper we solve the equation Tₙ=Pₘ completely.
Nurettin Irmak, Abdullah Açıkel
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A note on Pell-Padovan numbers and their connection with Fibonacci numbers
Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan
T.P. Goy, S.V. Sharyn
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