BA and BA CityFlyer have updated their schedule for October now.
BA CityFlyer - Currently 6x weekly (No Sat flight).
Due to go 10x weekly from 21st of September (2x flights on Mon-Thu and 1x on Fri and Sun).
Then goes 15x weekly from the 5th of October with one of the night stoppers returning between Monday and Thursday. (3x flights Mon-Thu, 2x on Fri and 1x on Sun).
Schedule hasn't been updated for the winter season.
BA - Flights are currently operating 18x weekly (3x flights on Mon/Thu/Fri/Sun, 2x on Tue/Wed/Sat).
This will increase to 31x weekly from the 1st of October (5x flights on Mon/Thu/Fri/Sun, 4x flights on Tue and Wed and 3x flights on a Sat).
Schedule hasn't been updated for the end of October, but the flights are due to go 6x daily from the 25th of October. Further changes likely.