On the Erdős-Sloane and Shifted Sloane Persistence Problems
Gabriel Bonuccelli, Lucas Colucci, and Edson de Faria
Instituto de Matemática e Estatística
Universidade de São Paulo
São Paulo
Brazil
Abstract:
In this paper, we investigate two variations on the so-called persistence
problem of Sloane: the shifted version, which was introduced by Wagstaff;
and the nonzero version, proposed by Erdős. We explore connections
between these problems and a recent conjecture of de Faria and Tresser
regarding equidistribution of the digits of some integer sequences and
a natural generalization of it.
Full version: pdf,
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(Concerned with sequences
A031346
A036461
A335808
A335824.)
Received September 1 2020;
revised versions received October 14 2020; October 16 2020; October 18 2020.
Published in Journal of Integer Sequences,
October 18 2020.
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