Repdigits as sums of three Padovan numbers. [PDF]
Bol Soc Mat Mex, 2020 AbstractLet $$ \{P_{n}\}_{n\ge 0} $${Pn}n≥0 be the sequence of Padovan numbers defined by $$ P_0=0 $$P0=0, $$ P_1 =1=P_2$$P1=1=P2, and $$ P_{n+3}= P_{n+1} +P_n$$Pn+3=Pn+1+Pn for all $$ n\ge 0 $$n≥0. In this paper, we find all repdigits in base 10 which can be written as a sum of three Padovan numbers.
Ddamulira M.
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Matrix Sequences in terms of Padovan and Perrin Numbers [PDF]
Journal of Applied Mathematics, 2013 The first main idea of this paper is to develop the matrix sequences that represent Padovan and Perrin numbers. Then, by taking into account matrix properties of these new matrix sequences, some behaviours of Padovan and Perrin numbers will be ...
Nazmiye Yilmaz, Necati Taskara
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A combined approach to Perrin and Padovan hybrid sequences [PDF]
Heliyon, 2021 Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number.
Emel Karaca +1 more
exaly +4 more sources
Combinatorial Interpretation of Numbers in the Generalized Padovan Sequence and Some of Its Extensions [PDF]
Axioms, 2022 There is ongoing research into combinatorial methods and approaches for linear and recurrent sequences. Using the notion of a board defined for the Fibonacci sequence, this work introduces the Padovan sequence combinatorial approach.
Renata Passos Machado Vieira +1 more
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Padovan and Perrin Hybrid Number Identities
Communications in Advanced Mathematical Sciences, 2021 This work investigates the numbers of Padovan and Perrin hybrids. At first, the hybrid numbers, the sequences in the hybrid form, and their matrix forms are ordered as studied sequences. Thus, it was possible to display the negative index hybrids, define
Renata Vieira +3 more
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On Gaussian Jacobsthal-Padovan Numbers
Cumhuriyet Science Journal, 2022 Gaussian Jacobsthal-Padovan numbers have been the central focus of this paper and firstly this number sequence has defined. Later, we have given the proof of the generating function of the Gaussian Jacobsthal-Padovan sequence.
Nusret Karaaslan
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Padovan numbers which are concatenations of three Padovan or Perrin numbers [PDF]
Notes on Number Theory and Discrete MathematicsThis paper presents all Padovan numbers that can be written as the concatenation of three Padovan or Perrin numbers under a certain constraint. Namely, we consider the Diophantine equations Pₜ=10ᵈ⁺ˡPₘ+10ˡPₙ+Pᵣ and Pₜ=10ᵈ⁺ˡRₘ+10ˡRₙ+Rᵣ, where k,m,n,r,d and
Fatih Erduvan
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The Hybrid Numbers of Padovan and Some Identities
Annales Mathematicae Silesianae, 2020 In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers.
Mangueira Milena Carolina dos Santos +3 more
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Striatal Nitric Oxide Activity Better Predicts Motor Disability Than Proto-Oncogenes. [PDF]
Eur J NeurosciThe figure summarizes the experimental design in which mice received a single intraperitoneal injection of saline, haloperidol, metoclopramide, or L‐NOARG at different doses. Extrapyramidal (EPS) side effects were assessed using the catalepsy test and the Rota‐rod test.
Prieto SG +3 more
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Causes of delayed angiosperm diversification: The photosynthetic revolution, increased opportunity costs of anti-herbivore defenses, selection for qualitative toxins, and acceleration of plant-herbivore coevolution. [PDF]
Am J BotAbstract Why did it take so long for angiosperms to diversify after they arose? Here I consider the indirect but potentially crucial impact of the “photosynthetic revolution” on plant–herbivore coevolution. Increased vein density in fossil leaves implies a doubling in photosynthesis 125–100 million years ago.
Givnish TJ.
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