A new member of the Pell sequences: the pseudo-Pell sequence
DOI:
https://doi.org/10.24193/subbmath.2025.2.01Keywords:
Pell and Pell-Lucas numbers, pseudo-Pell and Pell-Lucas numbersAbstract
In this study, we define a new family of the Pell numbers and establish some properties of the relation to the ordinary Pell numbers. We give some identities the pseudo-Pell numbers. Moreover, we obtain the Binet’s formula, generating function formula and some formulas for this new type numbers. Morever, we give the matrix representation of the pseudo-Pell numbers.References
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