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On two conjectures regarding generalized sequence of derangements

The second author studied arithmetic properties of a class of sequences that generalize the sequence of derangements. The aim of the following paper is to disprove two conjectures stated in \cite{miska}. The first conjecture regards the set of prime divisors of their terms. The latter one is devoted to the order of magnitude of considered sequences.

preprint2020arXivOpen access

Eryk Lipka Piotr Miska

math.NT

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Eryk Lipka Piotr Miska

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