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arXiv · 1106.5204

Avoiding Three Consecutive Blocks of the Same Size and Same Sum

Julien Cassaigne·James D. Currie·Luke Schaeffer·Jeffrey Shallit
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Abstract

We show that there exists an infinite word over the alphabet {0, 1, 3, 4} containing no three consecutive blocks of the same size and the same sum. This answers an open problem of Pirillo and Varricchio from 1994.

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Julien Cassaigne, James D. Currie, Luke Schaeffer, Jeffrey Shallit. 2011-08-09. Avoiding Three Consecutive Blocks of the Same Size and Same Sum. https://arxiv.org/abs/1106.5204

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