This research demonstrates how b-repdigits can be expressed as sums and products involving various number sequences, indicating new relationships.
Let \(b≥ 2\) be an integer. In this paper, we study the repdigits in base \(b\) that can be expressed as sums or products of Fibonacci, Pell, balancing and Jacobsthal numbers. The proofs of our main theorems use lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker-Davenport reduction method.
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Adegbindin et al. (2026) studied this question.
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