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math.NT2026
On concatenations of two -generalized Pell numbers
Cherif B. Deme, Kancou D. Fall, Khady Faye +1
We study the concatenation of two -generalized Pell numbers. More precisely, we determine all solutions of the equation , where $…
math.NT2026
Multiplicative independence in the sequence of -generalized Pell numbers
Cherif B. Deme, Kancou D. Fall, Khady Faye +1
We study multiplicative dependence between terms of the -generalized Pell sequence , defined by the linear recurrence \[ P_n^{(k)} = 2P_{n-1}^{(k)} + P_{…