Perrin Numbers That Are Concatenations of a Perrin Number and a Padovan Number in Base b [PDF]
Let (Formula presented.) be a Padovan sequence and (Formula presented.) be a Perrin sequence. Let n, m, b, and k be non-negative integers, where (Formula presented.).
Merve Güney Duman
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On the $x$--coordinates of Pell equations that are products of two Padovan numbers [PDF]
, 2020 Let $ \{P_{n}\}_{n\geq 0} $ be the sequence of Padovan numbers defined by $ P_0=0 $, $ P_1 = P_2=1$, and $ P_{n+3}= P_{n+1} +P_n$ for all $ n\geq 0 $. In this paper, we find all positive square-free integers $ d \ge 2$ such that the Pell equations $ x^2-
Ddamulira, Mahadi
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Pell–Padovan-circulant sequences and their applications [PDF]
, 2017 This paper develops properties of recurrence sequences defined from circulant matrices obtained from the characteristic polynomial of the Pell-Padovan sequence. The study of these sequences modulo m yields cyclic groups and semigroups from the generating
Shannon, AG, Deveci, Ö
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Uma Exploração da Sequência de Padovan num curso de Licenciatura em Matemática [PDF]
, 2019 The article reports a teaching experience using the Didactic Engineering (DE) methodology applied to the teaching and exploration of the Padovan Sequence.
Vieira, Renata Passos Machado +2 more
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El problema de Pillai con números de Padovan y potencias de dos [PDF]
, 2019 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 study and completely solve the Diophantine equation Pn - 2m = Pn1 - 2m1 in non-negative integers (n, m, n1, m1 ...
García Lomeli, Ana María +1 more
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O ensino da sequência combinatória padovan e formação inicial de professores: uma experiência baseada na engenharia didática [PDF]
In this study, we investigated the combinatorial model of the Padovan sequence, exploring the concept of tiles and their associations with this sequence.
Vieira, Renata Passos Machado +4 more
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Matrices formula for Padovan and Perrin sequences
Applied Mathematical Sciences, 2013 The Padovan and Perrin numbers have the matrix formula, Qn ⎡ ⎣ 0 3 0 0 1 2 ⎤ ⎦ = ⎡ ⎣ 0 1 0 0 0 1 1 1 0 ⎤ ⎦ n ⎡ ⎣ 0 3 0 0 1 2 ⎤ ⎦ . The matrix product is a 3× 2 matrix that when raised to the nth power give a matrix product whose entries are Padovan and Perrin numbers. For which we established by mathematical induction such that, Q ⎡ ⎣ 0 3 0 0 1 2 ⎤ ⎦ =
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Growth of V. parahaemolyticus in Tropical Blacklip Rock Oysters. [PDF]
Pathogens, 2023 Padovan AC +6 more
europepmc +1 more source
Epitope identification of SARS-CoV-2 structural proteins using in silico approaches to obtain a conserved rational immunogenic peptide. [PDF]
Immunoinformatics (Amst), 2022 Araújo LP +8 more
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Expressing stochastic filters via number sequences [PDF]
, 2010 We generalize the results presented in [1] regarding the relation between the Kalman filter and the Fibonacci sequence. We consider more general filtering models and relate the finite dimensional Kalman and Benes filters to the Fibonacci sequence and to
Farina, A., Capponi, A., Pilotto, C.
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