greybeard
Herd Master
STA..GB mentioned the seed bank, if you really want to stir it up, run a tractor disc around the tree. Stirring up the dirt will make hundreds of seeds spring to life.
Bay may have simply been being facetious but please do not do this.
Look at what was growing there before you cut it. Saplings, viney stuff and woody brushy weeds.
Look at the size/height of them.
Consider the number of years they have been there and dropping seed.
Those plants, are the source of the seeds that will "spring to life".
If you didn't want them growing there this week, why would you want them next spring?
You'll have plenty of resprouts without encouraging more.