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Palindromes in linear recurrence sequences |
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| Authors: | Javier Cilleruelo Rafael Tesoro Florian Luca |
| Institution: | 1. Departamento de Matemáticas, Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Universidad Autónoma de Madrid, 28049, Madrid, Spain 2. Fundación Marcos Moshinsky, Instituto de Ciencias Nucleares UNAM, Circuito Exterior, C.U., Apdo. Postal 70-543, 04510, Mexico, D.F., Mexico |
| Abstract: | We prove that for any base $b\ge 2$ and for any linear homogeneous recurrence sequence $\{a_n\}_{n\ge 1}$ satisfying certain conditions, there exits a positive constant $c>0$ such that $\# \{n\le x:\ a_n \text{ is} \text{ palindromic} \text{ in} \text{ base} b\} \ll x^{1-c}$ . |
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