De Clercq, AdriaanLuca, FlorianMartirosyan, LilitMatthis, MariaMoree, PieterStoumen, Max A.Weiss, Melvin2021-06-022021-06-022020-11De Clercq, A., Luca, F., Martirosyan, L. et al. 2020, 'Binary recurrences for which powers of two are discriminating moduli', Journal of Integer Sequences, vol. 23, art. 20.11.3, pp. 1-10.1530-7638http://hdl.handle.net/2263/80199Given a sequence of distinct positive integers w0,w1,w2, . . . and any pos- itive integer n, we define the discriminator function Dw(n) to be the smallest positive integer m such that w0, . . . ,wn−1 are pairwise incongruent modulo m. In this paper, we classify all binary recurrent sequences {wn}n 0 consisting of different integer terms such that Dw(2e) = 2e for every e ≥ 1. For all of these sequences it is expected that one can actually give a fairly simple description of Dw(n) for every n ≥ 1. For two infinite families of such sequences this has been done already in 2019 by Faye, Luca and Moree, respectively Ciolan and Moree.Please read abstract in the article.enAuthors retain the copyright of their submitted papers.ModuliSequenceBinaryIntegerArticle