On a property discovered by Xavier Grandsart

Abstract

We give a simple proof of the property discovered by Xavier Grandsart: let $W$ be a circular binary word; then the differences in the number of occurences $|W{|}_{0011}-|W{|}_{1100}$, $|W{|}_{1101}-|W{|}_{1011}$ , $|W{|}_{1010}-|W{|}_{0101}$ and $|W{|}_{0100}-|W{|}_{0010}$ are equal.

5 pages, 2 figures

References in corpus (1)

• Solution for the problem of the game heads or tails