Thanks for the shorter command. But why delete the find command? It still works — and even would if someone turned off Spotlight indexing. Please change to a format that both commands are included. Like:

# Via find
...

# Via Spotlight
...

Updated as requested.

Thanks!

Another alternative people may want to consider is mas by @argon and team.

Once mas is installed, mas list will list all application installed from the App Store in formatted columns for app ID number and app name/version. You can, for example, create this file on a system where you've signed into the App Store with

$ mas list | cut -d ' ' -f 1 > mas-list.txt
# schlep file to new or newly-reimaged Mac
$ brew install mas 
# ...
$ mas signin --dialog your.apple.id@example.com
# GUI dialog for password prompt is displayed
$ for i in `cat mas-list.txt`; do
> mas install $i
> done
# ...applications install...
$

That snippet is now part of my standard "get-a-clean-system-up" script.