Avoiding Three Consecutive Blocks of the Same Size and Same Sum
classification
💻 cs.DM
math.CO
keywords
sameblocksconsecutivesizethreealphabetanswersavoiding
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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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