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Uniqueness of the seed digit 3 property in audioactive (look-and-say) sequences

Determine whether the property that arises from the seed digit 3 in audioactive (look-and-say) sequences is unique to the seed digit 3 among all possible seed digits, or whether the same property occurs for other seed digits as well.

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Background

This problem concerns the behavior of audioactive (look-and-say) sequences, which were studied by Robert Morris and John Conway. The question asks whether a particular property associated with starting the sequence from the seed digit 3 is unique to that seed or can appear from other seeds. The authors note Conway’s classification of 92 elements in look-and-say sequences, suggesting possible differences in parsing or interpretation, which motivates clarifying the uniqueness of the property tied to the seed digit 3.

References

We conclude with a few problems which we believe to be currently open related to Rick's research and ideas. Is the property that arises from the seed digit 3 unique to only that seed digit? Conway found 92 'elements' for the 'look-and-say sequences' but that may have been a different way to parse them.

Richard A. Litherland: A Brief Biography (2402.13010 - Litherland et al., 20 Feb 2024) in Section "Open Problems"