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Add-largest-digit sequence (Posted on 2024-06-15) Difficulty: 3 of 5
An add-largest-digit sequence in base 10 is defined for some n by the recursive rule

a1=n,
at=at-1+[the largest digit of at-1] for t>1

For example, if n=165 the sequence begins 165, 171, 178, 186, 194, 203, 206, 212, 214, ...

What is the greatest number of successive odd terms that can be found in an add-largest-digit sequence?

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  Subject Author Date
SolutionSolutionBrian Smith2024-06-16 00:04:26
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