An Unusual Sequence

From the 2003 Tournament of the Towns:

Each term in a sequence of positive integers is obtained from the previous term by adding it to its largest digit. What is the greatest possible number of successive odd terms in such a sequence?

Solution

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Elastic Numbers

It’s here! My new book of puzzles Elastic Numbers is now available on Amazon.

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Elastic Numbers Cover

I hope you enjoy solving the problems as much as I enjoyed creating them.