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A new approach to the paperfolding sequences. (English) Zbl 1459.68163

Beckmann, Arnold (ed.) et al., Evolving computability. 11th conference on computability in Europe, CiE 2015, Bucharest, Romania, June 29 – July 3, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9136, 34-43 (2015).
Summary: In this paper we show how to re-derive known results about the paperfolding sequences, and obtain new ones, using a new approach using a decision method and some machine computation. We also obtain exact expressions for the recurrence and appearance function of the paperfolding sequences, and solve an open problem of Rampersad about factors shared in common between two different paperfolding sequences.
For the entire collection see [Zbl 1314.68011].

MSC:

68R15 Combinatorics on words
11B85 Automata sequences
68Q45 Formal languages and automata
Full Text: DOI

References:

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