What would the generating function be for representing n as the sum of odd integers?
I have
$f(x)=(1 + x + x^3 + x^5 ...)^n$
but I feel that there is a better way to represent it. In the end I need to show that it is the same as the number of ways to represent n as the sum of distinct integers, which has the generating function: $g(x)=(1+x)(1+x^2)...(1+x^n)$

