Results 41 to 50 of about 1,194,375 (170)
Padovan Numbers as Sum of Two Repdigits
Proceedings of the Bulgarian Academy of Sciences, 2023 Padovan sequence $$(P_{n})$$ is given by $$P_{n}=P_{n-2}+P_{n-3}$$ for $$n\geq3$$ with initial condition $$(P_{0},P_{1},P_{2})=(1,1,1)$$. A positive integer is called a repdigit if all of its digits are equal. In this study, we examine the terms of the Padovan sequence, which are the sum of two repdigits.
Duman, Merve Güney +5 more
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De Moivre-Type Identities for the Padovan Numbers [PDF]
, 2021 At this work, we give a method for constructing the Perrin and Padovan sequences and obtain the De Moivre-type identity for Padovan numbers. Also, we define a Padovan sequence with new initial conditions and find some identities between all of these ...
Akbıyık, Mücahit +2 more
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Compositions of positive integers with 2s and 3s
Demonstratio Mathematica, 2023 In this article, we consider compositions of positive integers with 2s and 3s. We see that these compositions lead us to results that involve Padovan numbers, and we give some tiling models of these compositions.
Dişkaya Orhan, Menken Hamza
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On the Richard and Raoul numbers
Journal of New Results in Science, 2022 In this study, we define and examine the Richard and Raoul sequences and we deal with, in detail, two special cases, namely, Richard and Raoul sequences. We indicate that there are close relations between Richard and Raoul numbers and Padovan and Perrin
Orhan Dışkaya, Hamza Menken
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A note on Pell-Padovan numbers and their connection with Fibonacci numbers
Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan
T.P. Goy, S.V. Sharyn
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Summing Formulas for Generalized Tribonacci Numbers
Universal Journal of Mathematics and Applications, 2020 In this paper, closed forms of the summation formulas for generalized Tribonacci numbers are presented. Then, some previous results are recovered as particular cases of the present results.
Yüksel Soykan
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Proportion, Function, and Generation of Dual Receptor Lymphocytes. [PDF]
J Immunol ResThe 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.
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A note on Mersenne Padovan and Perrin numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2021 In this paper, we determine all the Mersenne numbers which are in the sequences of Padovan and Perrin numbers, respectively.
Bir Kafle +2 more
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Exact Solutions and Stability of Fourth Order Systems of Difference Equations Using Padovan Numbers
International Journal of Analysis and Applications, 2022 Difference equations are widely utilized to describe some phenomena arising in nonlinear sciences. In particular, systems of difference equations play an important role in investigating most nonlinear applications.
Marwa M. Alzubaidi
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Padovan and Perrin numbers of the form 7ᵗ-5ᶻ-3ʸ-2ˣ [PDF]
Notes on Number Theory and Discrete MathematicsConsider the Padovan sequence (pₙ)ₙ≥₀ given by pₙ₊₃=pₙ₊₁+pₙ with p₀=p₁=p₂=1. Its companion sequence, the Perrin sequence (℘ₙ)ₙ≥₀, follows the same recursive formula as the Padovan numbers, but with different initial values: p₀=3, p₁=0 and p₂=2.
Djamel Bellaouar +2 more
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