Avoiding Three Consecutive Blocks of the Same Size and Same Sum

Details Avoiding Three Consecutive Blocks of the Same Size and Same Sum Avoiding Three Consecutive Blocks of the Same Size and Same Sum

2011-06-26

arxiv.org/abs/1106.5204v3

Computer Science

Discrete Mathematics

Scientific paper

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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