I'm just wondering if there is a canonical (i.e. convienient(i.e.
lazy)) way to define simple sequences and series in sage. In
particular, is there a standard way to define recursive series?

Suppose for example that You wanted to define the series a_n=1/n^2. Is
there a way to do this without writing a for loop?

And moreover, suppose you wanted to define the recursive sequences
a_n=(n^2+2)a_{n-1}. Is there a way to do this automatically?

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