First of all your present value is wrong. Annual payments in advance means that the first payment is at the beginning of the first year. Thus your PV would be:
$$PV = 1 + 4V + 9V^2 + ... + 400 V^(19) $$
Now, you know from first year that any quadratic has a common second difference. The trick here is to extract that into an understandable annuity.
To do this, take: $$PV - v*PV$$
Hint: This should result in an arithmetically increasing annuity, which you have learnt how to solve.
(I'm not sure why the notation for the last part of the PV messed up, but it's supposed to be 400V^(19))