Parcourir par sujet "Morphism, additive cube, pattern avoidance"
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Avoiding three consecutive blocks of the same size and same sum
(Association of Computing Machinery, 2014-04)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 from1994.