No that's not weird, my tapwater has a 0.25 reading but my filters are matured enough to cope with it, with the help of dechlorinators of course. Water companies do sometimes add a lot of chlorine and other heavy chemicals.
You could try doubling the dose of dechlorintor though, while your filter is cycling, most of them are pretty difficult to overdose. Just check the label first to make sure it's ok. With seachem prime it says you can add up to 7 times the recommended dose in emergency situations, like if you had a huge ammonia/nitrite spike in a mature tank. I wouldn't suggest you do that though, as it could affect your cycle.