We had no routine - Madeline fed when she was hungry (every 3-4 hours - which is what you say your LO is doing and that's just perfect for a 6 week old), slept when she was tired and was awake when she wanted to be.
The only "routine" I had was to try and feed her at 8/9pm and then again at 11/midnight, so that she would only be up once during the night.
Even though we were baby-led, by 10 weeks Madeline had got into her own routine of feeding, napping and sleeping through the night. Her routine is even better now, and it's all been formed from what she needed in those early days.
Now she will usually wake between 7am/8am, have a bottle then breakfast, nap between 10/11 for 45mins, have lunch and play, have a snack at 2.30 then go for a nap until about 4.30/5pm, then it's tea, play, bath, bottle and bed for 7.30ish.
At 6 weeks I wouldn't fret about routine x