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2. Collatz conjecture - Wikipedia

   en.wikipedia.org/wiki/Collatz_conjecture

   As an illustration of this, the parity cycle (1 1 0 0 1 1 0 0) and its sub-cycle (1 1 0 0) are associated to the same fraction ⁠ 5 / 7 ⁠ when reduced to lowest terms. In this context, assuming the validity of the Collatz conjecture implies that (1 0) and (0 1) are the only parity cycles generated by positive whole numbers (1 and 2 ...

3. File:All Collatz sequences of a length inferior to 20.svg

   en.wikipedia.org/wiki/File:All_Collatz_sequences...

   This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.

4. File:Collatz orbits of the all integers up to 1000.svg ...

   en.wikipedia.org/wiki/File:Collatz_orbits_of_the...

   English: Directed graph showing the orbits of the first 1000 numbers in the Collatz conjecture.

5. File:Collatz-graph-20-iterations.svg - Wikipedia

   en.wikipedia.org/wiki/File:Collatz-graph-20...

   English: This is a graph, generated in bottom-up fashion, of the orbits of all numbers under the Collatz map with an orbit length of 20 or less. Created with Graphviz, with the help of this Python program: # This python script generates a graph that shows 20 levels of the Collatz Conjecture.

6. LeetCode - Wikipedia

   en.wikipedia.org/wiki/LeetCode

   LeetCode LLC, doing business as LeetCode, is an online platform for coding interview preparation. The platform provides coding and algorithmic problems intended for users to practice coding . [ 1 ] LeetCode has gained popularity among job seekers in the software industry and coding enthusiasts as a resource for technical interviews and coding ...

7. Template:Collatz sequence Generator/doc - Wikipedia

   en.wikipedia.org/wiki/Template:Collatz_sequence...

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8. 3x + 1 semigroup - Wikipedia

   en.wikipedia.org/wiki/3x_+_1_semigroup

   The elements of a generating set of this semigroup are related to the sequence of numbers involved in the still open Collatz conjecture or the "3x + 1 problem". The 3x + 1 semigroup has been used to prove a weaker form of the Collatz conjecture. In fact, it was in such context the concept of the 3x + 1 semigroup was introduced by H. Farkas in ...

9. Lothar Collatz - Wikipedia

   en.wikipedia.org/wiki/Lothar_Collatz

   Lothar Collatz (German:; July 6, 1910 – September 26, 1990) was a German mathematician, born in Arnsberg, Westphalia. The "3x + 1" problem is also known as the Collatz conjecture, named after him and still unsolved. The Collatz–Wielandt formula for the Perron–Frobenius eigenvalue of a positive square matrix was also named after him.