It seems clear that they used the word "integer" to clarify that only whole number multiples were allowed, and not 1.5, 2.7, etc. As to whether 1 is allowed, that's not determined one way or the other by the use of the word "integer".

As to the patent owner originally accusing n=1 being part of the infringing apparatus/method, I agree that they shouldn't have done this if n=1 doesn't make sense in the context of their patent. That's more likely the mistake then the current CC.