On Pell and Pell-Lucas numbers
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Date
2025-06-15
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
Abstract
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.
Description
Keywords
Pell number, Pell-Lucas number, Binet formulas, Identity