Results 11 to 20 of about 653 (169)

Padovan numbers as difference of two repdigits [PDF]

Indian Journal of Pure and Applied Mathematics, 2023
In the paper under review, the author determines all the Padovan numbers that are expressible as a difference of two repdigits. To prove the main result, the authors uses a clever combination of techniques in Diophantine number theory, the usual properties of Padovan sequence, Baker's theory for nonzero lower bounds for linear forms in logarithms of ...
Merve Guney Duman
exaly   +5 more sources

Padovan numbers which are palindromic concatenations of two distinct repdigits [PDF]

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
International audienceIn this paper we determine all Padovan numbers that are palindromic concatenations of two ...
Mahadi Ddamulira, Taboka Chalebgwa
exaly   +5 more sources

Some New Graph Interpretations of Padovan Numbers [PDF]

Symmetry
Padovan numbers and Perrin numbers belong to the family of numbers of the Fibonacci type and they are well described in the literature. In this paper, by studying independent (1,2)-dominating sets in paths and cycles, we obtain new binomial formulas for Padovan and Perrin numbers.
Iwona Włoch, Andrzej Włoch, Mateusz Pirga   +2 more
exaly   +3 more sources

On the bi-periodic Padovan sequences [PDF]

Mathematica Moravica, 2023
In this study, we define a new generalization of the Padovan numbers, which shall also be called the bi-periodic Padovan sequence. Also, we consider a generalized bi-periodic Padovan matrix sequence. Finally, we investigate the Binet formulas, generating
Dışkaya Orhan, Menken Hamza
doaj   +3 more sources

On Generalized Padovan Numbers [PDF]

, 2021
In this paper, we investigate the generalized Padovan sequences and we deal with, in detail, four special cases, namely, Padovan, Perrin, Padovan-Perrin and modified Padovan sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences.
Soykan, Yüksel
openaire   +4 more sources

Padovan numbers that are concatenations of a Padovan number and a Perrin number [PDF]

Periodica Mathematica Hungarica
The sequence of Padovan numbers defined by \(P_0 = P_1 = P_2 = 1; P_k = P_{k-2} + P_{k-3}\). The sequence of Perrin numbers defined by \(R_0 = 3, R_1 = 0, R_2 = 2; R_k = R_{k-2} + R_{k-3}\). The author determines all Padovan numbers which can be written as concatenations of a Padovan number and a Perrin number. Baker's method and Davenport reduction is
Güney Duman, Merve, Güney Duman, Merve, Fakülteler, Teknoloji Fakültesi, Mühendislik Temel Bilimleri Bölümü   +2 more
openaire   +4 more sources

Padovan numbers as sums over partitions into odd parts [PDF]

Journal of Inequalities and Applications, 2016
Recently it was shown that the Fibonacci numbers can be expressed in terms of multinomial coefficients as sums over integer partitions into odd parts. In this paper, we introduce a similar representation for the Padovan numbers. As a corollary, we derive
Cristina Ballantine, Mircea Merca
doaj   +2 more sources

The Padovan numbers of the form 6a ± 6 b ± 6 c [PDF]

Revista Integración, 2023
Let (Pn)n>0 be the Padovan sequence given by P0 = 0, P1 = P2 = 1 and the recurrence formula Pn+3 = Pn+1 + Pn for all n > 0. In this note, we completely solve the Diophantine equation Pn = 6a ± 6b ± 6c in non-negative integers (n, a, b, c) with a > b > c
Ana Cecilia García Lomelí, Santos Hernández Hernández   +1 more
doaj   +5 more sources

Proportion, Function, and Generation of Dual Receptor Lymphocytes. [PDF]

J Immunol Res
The specific immune response mechanisms of B cells and T cells are centered on the classic clonal selection theory, which posits that “a single lymphocyte expresses only one type of antigen receptor.” This mechanism is primarily achieved through V(D)J allelic exclusion rearrangement on germline chromosomes and rigorous self‐tolerance selection. However,
Peng Q, Zhu L, Lu X, Yao X.
europepmc   +2 more sources

Generalized Pell-Padovan Numbers [PDF]

Asian Journal of Advanced Research and Reports, 2020
In this paper, we investigate the generalized Pell-Padovan sequences and we deal with, in detail, four special cases, namely, Pell-Padovan, Pell-Perrin, third order Fibonacci-Pell and third order Lucas-Pell sequences. We present Binet’s formulas, generating functions, Simson formulas and the summation formulas for these sequences.
Yüksel Soykan, Soykan, Yüksel
openaire   +4 more sources