Results 21 to 30 of about 653 (169)
Padovan numbers that are concatenations of two distinct repdigits [PDF]
Mathematica Slovaca, 2020 Abstract Let ( P n ) n ≥0 be the sequence of Padovan numbers defined by P
Odjoumani, Japhet +2 more
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On the problem of Pillai with Padovan numbers and powers of 3 [PDF]
Studia Scientiarum Mathematicarum Hungarica, 2019 Abstract Let {P n}n≥0 be the sequence of Padovan numbers defined by P0 = 0, P1 = 1, P2 = 1, and Pn+3 = Pn+1 + Pn for all n ≥ 0. In this paper, we find all integers c admitting at least two representations as a difference between a Padovan number and a power of 3.
Mahadi Ddamulira, Ddamulira, Mahadi
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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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On some properties of k-circulant matrices with the generalized Pell-Padovan numbers [PDF]
Journal of Innovative Applied Mathematics and Computational SciencesIn this paper, we investigate the properties of the $k$-circulant matrix generated by the generalized Pell--Padovan numbers. We derive explicit formulas for the sum of entries, the maximum column sum norm ($\Vert \cdot \Vert _{1}$), the maximum row sum ...
Yüksel Soykan, Erkan Taşdemir
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A Study on Generalized Jacobsthal-Padovan Numbers [PDF]
Earthline Journal of Mathematical Sciences, 2020 In this paper, we investigate the generalized Jacobsthal-Padovan sequences and we deal with, in detail, four special cases, namely, Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan and modified Jacobsthal-Padovan sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these ...
Yüksel Soykan
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Genomic prediction models for morpho-phenological traits in durum wheat based on Vrn, Ppd, and Rht alleles. [PDF]
Plant GenomeAbstract Genetic variations in vernalization (Vrn), photoperiod (Ppd), and reduced plant height (Rht) genes significantly influence durum wheat adaptability. However, the systematic integration of these functional alleles into genomic prediction (GP) models has been limited.
Puglisi D +7 more
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Determinants of the RFMLR Circulant Matrices with Perrin, Padovan, Tribonacci, and the Generalized Lucas Numbers [PDF]
Journal of Applied Mathematics, 2014 The row first-minus-last right (RFMLR) circulant matrix and row last-minus-first left (RLMFL) circulant matrices are two special pattern matrices. By using the inverse factorization of polynomial, we give the exact formulae of determinants of the two ...
Zhaolin Jiang, Nuo Shen, Juan Li
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Some geometric properties of the Padovan vectors in Euclidean 3-space [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Padovan numbers were defined by Stewart (1996) in honor of the modern architect Richard Padovan (1935) and were first discovered in 1924 by Gerard Cordonnier.
Serdar Korkmaz, Hatice Kuşak Samancı
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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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