FunctionPeriod don't work with PowerModList?

My program (WM 10.02):
FunctionPeriod[PowerModList[n, 1/4, 9], n, Integers]

answer:

PowerModList::arg1 : "The first argument [NoBreak]!n[NoBreak]
of PowerModList is not an integer. (many same words)
0

When i try

FunctionPeriod[Mod[n, 9], n, Integers]

it works, answer:
9

Maybe, it’s a bug (or it’s only on my comp)?

It seems that PowerModList is only designed for numeric n. Perhaps because it is a list-valued function, not a numeric-valued function. I may be wrong, though.

You are right, i think.

maybe, in the next version WM we’ll see more options of FunctionPeriod…