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cs.FL2022
Automatic Sequences in Negative Bases and Proofs of Some Conjectures of Shevelev
Jeffrey Shallit, Sonja Linghui Shan, Kai Hsiang Yang
We discuss the use of negative bases in automatic sequences. Recently the theorem-prover Walnut has been extended to allow the use of base (-k) to express variables, thus permittin…
math.CO2022★ 3 cited
Pseudoperiodic Words and a Question of Shevelev
Joseph Meleshko, Pascal Ochem, Jeffrey Shallit +1
We generalize the familiar notion of periodicity in sequences to a new kind of pseudoperiodicity, and we prove some basic results about it. We revisit the results of a 2012 paper o…