Hi! It's me again with another counting problem.

I am trying to find the order of the following set (where is fixed): , the stabilizer of 1 in .

Now, I have calculated 4 of these:

n = 2: so

n = 3: so

n = 4: so

I also did n = 5 which gives:

The pattern seems to be that , but the examples don't help me to understand the counting in general, which was the intent of doing the examples in the first place.

Any thoughts?

-Dan