for informing you about at short notice vs for informing you about on short notice

Some examples from the web:

• Thanks for fixing this at short notice.
• Members may request extracts of the verbatim report to be translated at short notice.
• Where applicable, visas should be simplified and supplied at short notice.
• Midweeks are easier to book at short notice.
• Best we could do at short notice.
• He is obliged to leave the country at short notice.
• I appreciate you all coming together at short notice.
• Only vehicle I could find at short notice.
• Mr Haarder and the Danish Presidency are stepping into this at short notice.
• 1.3.3 Where applicable, visas should be simplified and supplied at short notice.
• In addition measures will to be taken to reinforce the implementation capacity of Delegations at short notice.
• Contingency planning should include the ability to call on vets in the private sector at short notice.
• Persons using ventilators are often refused at short notice, sometimes even one day before travelling.
• The person concerned must be easily contactable at short notice.
• I appreciate you turning up at short notice.
• And something weird was all I could think of at short notice.
• So he leaves the family home at short notice.
• Romance at short notice is my specialty.
• Reinforcing stables, getting money sent at short notice...
• The Parliament's Administration managed the consequences of the incident efficiently and effectively and the necessary budgetary means were made available at short notice.

Some examples from the web:

• I appreciate all of you showing up on short notice.
• A difficult task on short notice, yet - Carried to completion.
• Into a government facility on short notice?
• I'll see what I can arrange on short notice.
• I made the decision on short notice.
• Thank you so much for seeing me on short notice.
• It's on short notice, but...
• That's the best I can do on short notice.
• Thanks for turning this materials analysis around on short notice.
• She can't be mentally prepared for a date on short notice.
• Forgive me for calling you on short notice.
• Path request on short notice is possible.
• Quality measurements RU/IM, path availability on short notice
• That is a tough one on short notice.
• Best I could do on short notice.
• I also had to replace someone's squire on short notice.
• I'll see what I can arrange on short notice.
• Supplies are hard to come by, especially... on short notice.
• This - this was the nearest vessel on short notice.
• I made the decision on short notice.