just wanted to agree with everyone else - 6 weeks is stil so little, and the best thing I did with my second baby was just to have NO expectations of any sleep 'patterns'. It took the pressure off me that I'd felt when ds1 was born - I remember the shock I felt when I realised that being a mum wasn't just a day job, it went on ALL night as well!
I was shattered, and it toook a while till ds settled down into anything resembling a routine - in fact I did end up using the GF routine, although I didn't follow it to the letter. I just 'cherry-picked' the parts that fit, and it helped. I did that from about 14 weeks, iirc. By that stage I was at breaking point!
With dd, the only routine I engaged was to start putting her down for the night at about 6.30pm EVERY evening - I found that she usually would sleep from then until about 10/11pm, then wake for a feed, then be down and up a couple more times through the night. Eventually this turned into her only waking at around 3/4am for about an hour before she went back down till morning. By 5 months, I think, she started sleeping through - I was amazed! And delighted! She's still a great sleeper now at 20 months. Oh, and I swaddled her, which seemed to help for the first few weeks. Have you tried that?
For her daytime sleeps I would just have her in her swing chair - the rocking motion was great and she would crash out for long naps, I highly recommend getting one if you haven't already.
I know how hard this is for you, but do try to ease up on yourself - lower your expectations of when you feel he 'should' be sleeping, and just be happy whenever he does sleep for the time being! YOur own exhaustion doesn't help matters so try to get naps in yourself whenever you can. It will all calm down, I promise!