JP Journal of Algebra, Number Theory and Applications
-->
Abstract: A Šindel sequence of natural numbers is a periodic
sequence that satisfies the following condition: for any there exists such that where stands for a triangular number.
Denoting to be the period length, we will
establish a necessary and sufficient condition for the so-called primitive Šindel
sequence to be peculiar, namely that for
Keywords and phrases: quadratic residue, Chinese remainder theorem, primitive Šindel sequences, Prague clock sequence.