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Some results on the Collatz problem

✍ Scribed by Ştefan Andrei; Manfred Kudlek; Radu Ştefan Niculescu

Publisher: Springer-Verlag
Year: 2000
Tongue: English
Weight: 156 KB
Volume: 37
Category: Article
ISSN: 0001-5903
DOI: 10.1007/s002360000039

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In the Collatz problem, certain runs of consecutive integers have the same height. This phenomenon is investigated using an algorithm for reconstructing the trajectory of a number from the parity vector of the number. It is found that pain of consecutive integers of the same height occur infinitely