I sometimes have to solve problem related to series where coefficients are defined by recurrence relations.

The easiest relation is in a such situation when I have one recurrence relation a[n]=… function of a[] with initial values  a[0].

But it is more difficult to solve recurrence relations when two or three a[n], b[n], c[n]  relations form an implicit system .

What strategy do you suggest  to  solve effectively this problem?

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