Results 131 to 140 of about 670 (161)

Multiplicative Dependent Pairs in the Sequence of Padovan Numbers

Mathematica Slovaca, 2023
ABSTRACT The Padovan sequence {Pn } n≥0 is a ternary recurrent sequence defined recursively by the relation Pn = P n–2 + P n–3 with initials P 0 = P 1 = P
Prasanta Kumar Ray
exaly   +3 more sources

Padovan-like sequences and generalized Pascal’s triangles [PDF]

, 2020
The Padovan sequence and the Plastic number are mathematical objects of central interest among architects, and from this point of view, their importance is com- parable to that of the Fibonacci sequence and the Golden mean. Padovan-like sequences, such as Perrin sequence or the Cordonnier sequence, also have mathematical applications.
Anatriello, Giuseppina, Vincenzi, Giovanni   +1 more
openaire   +3 more sources

Generalized Pascal’s triangles and associated k-Padovan-like sequences [PDF]

Mathematics and Computers in Simulation, 2022
One of the most interesting properties of Pascal's triangle is that the sequence of the sums of the elements on its diagonals is the best known recurrence sequence, the Fibonacci sequence.
László Nemeth, Giovanni Vincenzi, Giuseppina Anatriello   +2 more
exaly   +2 more sources

The complex-type k-Padovan sequences and their applications [PDF]

Applicable Algebra in Engineering, Communication and Computing
In this paper, we define the complex-type k-Padovan numbers and then give the relationships between the 1,k-1-bonacci numbers, the k -Padovan numbers and the complex-type k-Padovan numbers by matrix method.
Ömür Deveci, Anthony G. Shannon, Özgür Erdag, Güntaç Ceco   +3 more
openaire   +2 more sources

The Padovan- Padovan p-Sequences in Groups

2020
Erdag 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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HYPERBOLIC PADOVAN SEQUENCE

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.
openaire   +2 more sources

The Fibonacci-Padovan sequence and MacWilliams transform matrices

Programming and Computer Software, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. D. Gogin, A. A. Mylläri
openaire   +1 more source

The Padovan-circulant-Hurwitz sequences

Annals of the University of Craiova Mathematics and Computer Science Series
In 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, Özgür Erdağ, Ömür Deveci   +2 more
openaire   +1 more source

ON THE NOVEL GENERALIZATIONS OF THE PADOVAN SEQUENCE

2022
In 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
openaire   +1 more source

A Visual Tour of Identities for the Padovan Sequence

The Mathematical Intelligencer, 2021
Tom Edgar, David Nacin
openaire   +2 more sources