3n+1 Graph

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The process constructs a sequence starting with and iterating this process: if is even, compute , and if is odd, compute .

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Connect two successive numbers in such a sequence by an arrow to get a graph. Take all the sequences up to a maximum starting number to get the bigger graph shown here. A pair of numbers may be joined by several edges because the sequences from different starting numbers can overlap.

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Contributed by: Jacqueline Zizi (March 2011)
Open content licensed under CC BY-NC-SA


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