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Padovan and Perrin Hybrid Number Identities
Communications in Advanced Mathematical Sciences, 2021 This work investigates the numbers of Padovan and Perrin hybrids. At first, the hybrid numbers, the sequences in the hybrid form, and their matrix forms are ordered as studied sequences. Thus, it was possible to display the negative index hybrids, define
Renata Vieira +3 more
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A combined approach to Perrin and Padovan hybrid sequences
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.
Emel Karaca +1 more
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Hessenberg matrices and the Pell and Perrin numbers
Journal of Number Theory, 2011 AbstractIn this paper, we investigate the Pell sequence and the Perrin sequence and we derive some relationships between these sequences and permanents and determinants of one type of Hessenberg matrices.
Fatih Yilmaz, Durmus Bozkurt
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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 +2 more
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Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers.
Öteleş Ahmet
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Perrin Numbers That Are Concatenations of a Perrin Number and a Padovan Number in Base b
SymmetryLet (Pk)k≥0 be a Padovan sequence and (Rk)k≥0 be a Perrin sequence. Let n, m, b, and k be non-negative integers, where 2≤b≤10. In this paper, we are devoted to delving into the equations Rn=bdPm+Rk and Rn=bdRm+Pk, where d is the number of digits of Rk or Pk in base b. We show that the sets of solutions are Rn∈{R5,R6,R7,R8,R9,R10,R11,R12,R13,R14,R15,R16,
Merve Guney Duman
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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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Repdigits as products of consecutive Padovan or Perrin numbers [PDF]
Arabian Journal of Mathematics, 2021 AbstractA repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., a number of the form $$a(10^m-1)/9$$ a ( 10 m - 1
Salah Eddine Rihane, Alain Togbé
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La controverse en vallées vaudoises : débats savants ou lutte antiprotestante ?
Chrétiens et Sociétés, 2023 Although there were many controversies in the Waldensian valleys, they left few traces: they rarely gave rise to the publication of reports, and many of them seemed more akin to fistfights than scholarly debates.
Yves Krumenacker
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New Data on the Occurrence of Scarabaeoid Beetles (Coleoptera: Scarabaeoidea) in Serbia
Diversity, 2023 The Serbian fauna of the superfamily Scarabaeoidea is relatively well-known compared to the neighbouring countries. Many common species known from Serbia’s neighbouring countries are not recorded in Serbia, despite the richness of the country’s habitats,
Adam Byk +10 more
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