I'm sorry you're having a rough time. I'd be going insane with that sleep pattern. I think some babies are good sleepers and others aren't. My first was a great sleeper and I'm thinking this one is on the same road
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My babe is 6 weeks old. These answers are from her pattern over the last week.
Where does your LO sleep?
Until she goes to sleep "for the night" she is either in arms or in the swing until sometime between 10-11. Then she is in her pre-warmed co-sleeper with hot water bottle next to her.
What is the longest stretch of sleep your LO gets?
Her first stretch of sleep is the longest and has been between 4-5 hours. Then she's about ever 3-4 hours after that.
Do you swaddle?
Heck yes. Religiously. Her arms keep her awake or wake her up.
Do you have a bedtime routine?
Not yet.
Do you cluster feed at night before bed?
She naturally feeds every 1-2 hours in the time before bed.
Is there anything you do at night that you attribute to your LO getting good stretches of sleep?
She feeds well and is almost double her birthweight. I think reaching above the 10 pound mark and/or doubling their birthweight has a lot to do with the ability to sleep well. I also don't respond to every noise/cry she makes. Her grunts and other noises at night are ignored. If she cries out after only an hour or two, I'll pop the paci in her mouth and she'll almost always go back to sleep for awhile. I'll often wait to respond to her crying by going pee, getting a glass of water, and turning the TV to the right channel in the middle of the night just to be sure she really is going to be awake and ready to feed.
I'm also a firm believer in the more they sleep during the day, the better they sleep at night. She sleeps A LOT during the day. At least 2 three hour naps and sometimes a third if we haven't been out and about a lot.

My babe is 6 weeks old. These answers are from her pattern over the last week.
Where does your LO sleep?
Until she goes to sleep "for the night" she is either in arms or in the swing until sometime between 10-11. Then she is in her pre-warmed co-sleeper with hot water bottle next to her.
What is the longest stretch of sleep your LO gets?
Her first stretch of sleep is the longest and has been between 4-5 hours. Then she's about ever 3-4 hours after that.
Do you swaddle?
Heck yes. Religiously. Her arms keep her awake or wake her up.
Do you have a bedtime routine?
Not yet.
Do you cluster feed at night before bed?
She naturally feeds every 1-2 hours in the time before bed.
Is there anything you do at night that you attribute to your LO getting good stretches of sleep?
She feeds well and is almost double her birthweight. I think reaching above the 10 pound mark and/or doubling their birthweight has a lot to do with the ability to sleep well. I also don't respond to every noise/cry she makes. Her grunts and other noises at night are ignored. If she cries out after only an hour or two, I'll pop the paci in her mouth and she'll almost always go back to sleep for awhile. I'll often wait to respond to her crying by going pee, getting a glass of water, and turning the TV to the right channel in the middle of the night just to be sure she really is going to be awake and ready to feed.
I'm also a firm believer in the more they sleep during the day, the better they sleep at night. She sleeps A LOT during the day. At least 2 three hour naps and sometimes a third if we haven't been out and about a lot.