Using expanded notation for series I can get an answer that matches up with maple:
What I can't seem to do is find this with a closed form notation for series.
First I substitute...
Then I try to get everything to be to power of n...
Then I try to get everything to the same index by taking out n=0 elements where necessary...
Using initial conditions:
The recurrence relationship I get is:
But this is wrong because if I plug in n=2, I get
Where did I go wrong?