Results 141 to 150 of about 670 (161)

The Padovan-Pell-Slyvester sequences and their applications

AIP Conference Proceedings, 2017
In 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

2017
Maejo International Journal of Science and Technology, 11, 3 ...
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Generalized Padovan Sequences and Figurate Numbers

Advances in Nonlinear Variational Inequalities
Generalized Padovan Sequences are more general class of sequences which are viewed as general form of the classical Padovan sequences named after English mathematician Richard Padovan. Figurate numbers are special class of numbers which occur in various problems in number theory.
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On the Padovan Codes and the Padovan Cubes

Symmetry, 2023
Gwangyeon Lee
exaly  

On the Cube Polynomials of Padovan and Lucas–Padovan Cubes

Symmetry, 2023
Gwangyeon Lee, Jinsoo Kim
exaly  

Padovan numbers that are concatenations of two distinct repdigits

Mathematica Slovaca, 2021
Mahadi Ddamulira
exaly  

On the Diophantine equation $$P_m=P_n^x+P_{n+1}^x$$ with Padovan numbers

Boletin De La Sociedad Matematica Mexicana, 2022
Santos Hernández Hernández, A C Garcia Lomeli   +1 more
exaly  

The Hadamard-type Padovan-p Sequences

2020
In this paper, we define the Hadamard-type Padovan-p sequence by using the Hadamard-type product of characteristic polynomials of the Padovan sequence and the Padovan-p sequence. Also, we derive the generating matrices for these sequences. Then using the roots of characteristic polynomial of the Hadamard-type Padovan-p sequence, we produce the Binet ...
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The Pell-Padovan p-Sequences and Its Applications

2015
In this paper, we define the Pell-Padovan p-numbers then we obtain the generating matrix, permanental representation, the Binet formula, the generating function, the exponential representation, the combinatorial representations and the sums of the Pell-Padovan p-numbers. Also, we study the Pell-Padovan p-numbers modulo m.
Akuzum, Yesim, DEVECİ, ÖMÜR, KARADUMAN, Erdal   +2 more
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On the x-coordinates of Pell equations that are sums of two Padovan numbers

Boletin De La Sociedad Matematica Mexicana, 2021
Mahadi Ddamulira
exaly