On min-base palindromic representations of powers of 2

Donald L. Kreher; Douglas R. Stinson

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arXiv · 2401.07351

On min-base palindromic representations of powers of 2

Donald L. Kreher·Douglas R. Stinson

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Abstract

A positive integer $N$ is \emph{palindromic in the base $b$} when $N = \sum_{i=0}^{k} c_i b^i$, $c_k\neq 0$,and $c_i=c_{k-i},\; i=0,1,2,...,k$, Focusing on powers of 2, we investigate the smallest base $b$ when $N=2^n$ is palindromic in the base $b$.

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Donald L. Kreher, Douglas R. Stinson. 2024-01-14. On min-base palindromic representations of powers of 2. https://arxiv.org/abs/2401.07351

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