a_{1}=n,

a_{t}=a_{t-1}+[the largest digit of a_{t-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?