Results 21 to 30 of about 503 (122)
HLA-A*02:01 Presents Penicillin-Modified Cysteinylated Peptides for T Cell Recognition. [PDF]
AllergyWe describe, for the first time, HLA presentation of benzylpenicillin‐modified peptides incorporating a cysteine‐benzylpenicillin conjugate (CysBP), disulfide linked to an in‐chain cysteine. A dominant HLA‐A*02:01 restricted benzylpenicillin‐specific T cell clone, TRAV3/TRBV20‐1 (BP‐TCR), was identified within PBMCs of a penicillin‐hypersensitive ...
Goh SJR +10 more
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On the bi-periodic Padovan sequences
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 functions, series and partial sum formulas for these sequences.
Dişkaya, Orhan, Menken, Hamza
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A Combinatorial Interpretation of the Padovan Generalized Polynomial Sequence
Armenian Journal of Mathematics, 2023 We investigate a combinatorial interpretation of the Padovan polynomial sequence, also addressing its polynomial extensions. We thus include the Tridovan polynomial sequence, Tetradovan polynomial sequences, leading up to the Z-dovan polynomial generalization.
Renata Passos Machado Vieira +2 more
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Properties of Padovan Sequence
Turkish Journal of Computer and Mathematics Education (TURCOMAT), 2021 Among several types of famous sequences that exist in all branches of mathematics, Padovan sequence is one of such sequences possessing amusing properties. In this paper, we shall discuss about Padovan Sequence and determine a special number called Plastic number. We also derive the ratio of its (n+1)st term to the nth term as n is very large, which is
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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 thematrix sequencesthat 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 investigated.
Nazmiye Yilmaz, Necati Taskara
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On the Quinary Fibonacci-Padovan Sequences
Creative Mathematics and Informatics, 2022 In this paper, we consider the Fibonacci and Padovan sequences. We introduce the quinary Fibonacci-Padovan sequences whose compounds are the Fibonacci and Padovan sequences. We derive the Binet-like formulas, the generating functions and exponential generating functions of these sequences.
Dişkaya, Orhan, Menken, Hamza
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Relations on higher dimensional Padovan sequences [PDF]
Notes on Number Theory and Discrete Mathematics, 2021 Many papers developed so far for Padovan sequences properties and its extensions usually follow the one-dimensional approach. The presented work introduces new relations for a higher dimensional sequence, this approach is adopted for two, three and n-dimensional Padovan Sequence.
Renata Passos Machado Vieira +2 more
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sequence of the hyperbolic k-Padovan quaternions
Malaya Journal of Matematik, 2023 This work introduces the hyperbolic k-Padovan quaternion sequence, performing the process of complexification of linear and recurrent sequences, more specifically of the generalized Padovan sequence. In this sense, there is the study of some properties around this sequence, deepening the investigative mathematical study of these numbers.
Renata Passos Machado Vieira +2 more
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A Historical Analysis of The Padovan Sequence
International Journal of Trends in Mathematics Education Research, 2020 In the present text, we present some possibilities to formalize the mathematical content and a historical context, referring to a numerical sequence of linear and recurrent form, known as Sequence of Padovan or Cordonnier. Throughout the text some definitions are discussed, the matrix approach and the relation of this sequence with the plastic number ...
Renata Passos Machado Vieira +2 more
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Binomial Transforms of the Padovan and Perrin Matrix Sequences [PDF]
Abstract and Applied Analysis, 2013 We apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, we illustrate the relations between these transforms by deriving new formulas.
Yilmaz, Nazmiye, Taskara, Necati
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