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Finding binary words with a given number of subsequences - MaRDI portal

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Finding binary words with a given number of subsequences

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Publication:6412587

DOI10.1016/J.TCS.2022.03.032arXiv2210.00342MaRDI QIDQ6412587

Author name not available (Why is that?)

Publication date: 1 October 2022

Abstract: We relate binary words with a given number of subsequences to continued fractions of rational numbers with a given denominator. We deduce that there are binary strings of length O(lognloglogn) with exactly n subsequences; this can be improved to O(logn) under assumption of Zaremba's conjecture.





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