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The Padovan- Padovan p-Sequences in Groups
2020Erdag and Deveci [13] defined the Padovan-Padovan p-sequence and they studied properties of this sequence. Then, Akuzum and Deveci [1] studied the Padovan-Padovan p-sequence modulo m. Also, they discussed the connections between the order the cyclic groups obtained and the periods of the Padovan-Padovan p-sequence according to modulo m.
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On the Properties of Iterated Binomial Transforms for the Padovan and Perrin Matrix Sequences [PDF]
Mediterranean Journal of Mathematics, 2015 In this study, we apply "r" times the binomial transform to the Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, generating functions of these transforms are found using recurrence relations. Finally, we give the relationships of between iterated binomial transforms for Padovan and Perrin matrix sequences.
Nazmiye Yilmaz
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The Fibonacci-Padovan sequence and MacWilliams transform matrices
Programming and Computer Software, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. D. Gogin, A. A. Mylläri
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2021
In this study, we define thehyperbolic Padovan numbers and we obtain recurrence relations and the summationformulas for these numbers. Firstly, wepresent some background information about Hyperbolic numbers and Padovannumbers.
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In this study, we define thehyperbolic Padovan numbers and we obtain recurrence relations and the summationformulas for these numbers. Firstly, wepresent some background information about Hyperbolic numbers and Padovannumbers.
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ON THE NOVEL GENERALIZATIONS OF THE PADOVAN SEQUENCE
2022In the present work, we consider the Padovan sequence and define a sequence (called Quadrovan) that is a new generalization. In addition, we give the previously defined Tridovan sequence as a generalization of the Padovan sequence. We derive the Binet-like formulas, the generating functions and the exponential generating functions for the Tridovan and ...
Dişkaya, Orhan, Menken, Hamza
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The Padovan-circulant-Hurwitz sequences
Annals of the University of Craiova Mathematics and Computer Science SeriesIn this paper, we define the Padovan-circulant-Hurwitz sequences of the first, second, third and fourth kinds by using the Hurwitz matrices, which are obtained from the characteristic polynomials of the Padovan-circulant sequences of the first, second, third and fourth kinds.
Zafer Adigüzel +2 more
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A Visual Tour of Identities for the Padovan Sequence
The Mathematical Intelligencer, 2021Tom Edgar, David Nacin
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The Padovan-Pell-Slyvester sequences and their applications
AIP Conference Proceedings, 2017In this work, we define the Padovan-Pell-Slyvester sequences of the first and second kind by using the Slyvester matrices which are obtained from the characteristic polynomials of the Padovan and Pell-Padovan sequences. First we study the Padovan-Pell-Slyvester sequences of the first and second kind modulo m and we obtain the cyclic groups from the ...
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Sylvester-Padovan-Jacobsthal-type sequences
2017Maejo International Journal of Science and Technology, 11, 3 ...
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