Browsing by Author "Fatima Zohra, Sayhi"

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    On Pell and Pell-Lucas numbers
    (Mohamed Boudiaf University of M'sila, 2025-06-15) Samia, Zikem; Fatima Zohra, Sayhi; Supervisor: Abdelmajid, Boudaoud
    In this work, we consider the linear recurrent sequences with constant coefficients of order 2, focusing on those defining Pell and Pell-Lucas numbers. In this context, we have examined the corresponding Binet formulas and the possibilities for a Pell or Pell-Lucas number to become a member of another family such as the families of triangular, pentagonal, heptagonal numbers, ... . We also reviewed some identities linking these numbers, and finished our work with some formulas involving the sum and multiplication of these numbers.