Stewart's Sequences 1 of 5

A pie factory is booming in business.

On the first day of opening they baked only $$2\frac { 1 }{ 3 }$$ pies,

On Day 2 they baked $$4\frac { 2 }{ 3 }$$ pies!

On Day 3 they made $$7$$ pies!

$$...$$

On Day $$n$$ they made $$x$$ pies!

Assuming that nothing restricts their pie baking skills, this sequence continues each day and that they can bake up to $$\infty$$ pies per day, find the sum of $$x$$ when $$n=30$$ and $$n=60$$.

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