Hi, Meanwhile, lazy Laurent series ring is also available.
sage: L.<z> = LazyLaurentSeriesRing(QQ)
sage: f = 1 - z - z^2
sage: b = ~f
sage: b.coefficient(10)
89
sage: b
1 + z + 2*z^2 + 3*z^3 + 5*z^4 + 8*z^5 + 13*z^6 + ...
sage: C = L.series(lambda s,n: (1 + z*s^2)[n], valuation=0)
sage: C.coefficient(10)
16796
sage: C
1 + z + 2*z^2 + 5*z^3 + 14*z^4 + 42*z^5 + 132*z^6 + ...
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