%0 Journal Article %T Avoiding Three Consecutive Blocks of the Same Size and Same Sum %A Julien Cassaigne %A James D. Currie %A Luke Schaeffer %A Jeffrey Shallit %J Computer Science %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1106.5204v3