Is there a solution for the infinite sum of the following form??
$x^y + x^{y + y^2} + x^{y + y^2 + y^3} + x^{y + y^2 + y^3 + y^4} + ...$
It can also be represented this way:
$\sum_{j = 1}^{\infty} \prod_{k = 1}^{j} x^{y^k}$
Any tips would be greatly appreciated-- both me and Wolfram Alpha are stumped on this one!