
Have you altered the amount you're feeding him? How many meals does he get a day and are they all the same size? Pups tums are easily upset by slight adjustments to their diet and the fact that you have only had him a week suggests that possibly the change in water (if not bought locally to you) could even affect his tummy.
Over and above that his system has had the trauma of vaccines added - try resting his tummy for 12 hours and then feed a small light meal followed by a more normal portion at the correct interval. Ensure he always has lots of fresh water readily available, even when fasting. This course of action should in itself help his system to regulate.
If the problem persists for more than 24 hours, I'd have him checked again by your vet - puppies can dehydrate VERY quickly and at this time of year it's even more essential that they do not lose excess fluids.
HTH, regards Teri