Two-dimensional Relations and the Hybrid Numbers of Lucas Sequence

In this paper we present the two-dimensional relationships of the Lucas sequence, a sequence similar to the Fibonacci sequence, diering only in relation to their initial values. Given this, originating from the process of hybridization of linear and recursive sequences, we deal with the hybrid numbe...

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Bibliographic Details
Main Authors: Mangueira, Milena, Vieira, Renata, Alves, Francisco, Catarino, Paula
Format: Digital
Language:por
Published: Universidad Antonio Nariño 2023
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Online Access:https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1476
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Summary:In this paper we present the two-dimensional relationships of the Lucas sequence, a sequence similar to the Fibonacci sequence, diering only in relation to their initial values. Given this, originating from the process of hybridization of linear and recursive sequences, we deal with the hybrid numbers of Lucas. These two methods discussed in this research support the complexication area of this sequence by inserting imaginary units into its terms and its original recurrence. Finally, future work is suggested to continue this process, listing future applications in everyday life and in areas of modern physics.
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