A note on the Tetrarrin sequence
DOI:
https://doi.org/10.14393/BEJOM-v5-2024-69801Keywords:
Extension, Perrin sequence, Tetrarrin sequenceAbstract
This study explores an extension of the Perrin sequence, defining the Tetrarrin sequence. Thus, we investigated Tetrarrin numbers and their mathematical relationships, allowing a deeper understanding of Perrin numbers. In this context, we analyze Binet?s formula, the matrix form, among other theorems, making it possible to obtain the terms of this new sequence using different methods. It is important to highlight that the Tetrarrin sequence is of higher order and derived from the Perrin sequence. For future work, we intend to integrate this content with other areas of study, in addition to using tools and software that enable the visualization of the mathematical properties of this sequence in a more intuitive and accessible way.
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Copyright (c) 2024 Renata Passos Machado Vieira, Francisco Regis Vieira Alves, Paula Maria Machado Cruz Catarino
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