Hi,

I am looking into the lazy power series Sage module. This module can
be quite useful, but the documentation is poor. In particular, I have
the following questions.

1. Why is the module at such an obscure place as "Combinatorics/
Combinatorial Species"? I think it should be with the power series
module.

2. In the following

sage: L.<t>=LazyPowerSeriesRing(QQ)
sage: s=L([1,2])
sage: s
O(1)
sage: s.coefficients(10)
[1, 2, 2, 2, 2, 2, 2, 2, 2, 2]
sage: s=L([1,2,0])
sage: s.coefficients(10)
[1, 2, 0, 0, 0, 0, 0, 0, 0, 0]

Is this difference intended? I think, the first input notation may
cause bugs rather than be useful. Why is "s" O(1)? Isn't it
O(2)=O(t^2)?

3. How should I understand the following? What are the definitions of
"aorder" and "order"?

sage: s=L([1,2,0])
sage: s.get_aorder()
0
sage: s.get_order()
Unknown series order


Thank you for reply in advance.


Kwankyu

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