#19296: Generating function in FindStat interface
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Reporter: stumpc5 | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.9
Component: packages: | Resolution:
optional | Merged in:
Keywords: FindStat, OEIS | Reviewers:
Authors: Christian Stump | Work issues: document
Report Upstream: N/A | Commit:
Branch: | 5558be983f10469e5be31e45652364437a0edb03
u/stumpc5/generating_function_in_findstat_interface| Stopgaps:
Dependencies: #19307 |
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Comment (by stumpc5):
Here is another question concerning negative statistic values: so far, I
had considered the generating function {{{2q + q^2}}} as the sequence
{{{0,2,1}}} where the initial {{{0}}} corresponds to the constant term
{{{0}}}. But if I consider negative statistic values, I might end up with
the generating function {{{q^{-1} + 2q}}}, which I have to move to the
sequence {{{1,0,2}}}.
So, should I always shift the sequence of a generating function such that
it starts with the first nonzero term?
[I find this counter intuitive for nonnegative statistics, but it is
unavoidable for partially negative statistics.]
Finally, it seems special wired if my generating functions are
{{{
f_1(q) = q^{-1} + q
f_2(q) = 2q + q^2
}}}
and then shift the first, but not the second, to finally get
{{{1,0,1,0,2,1}}}.
--
Ticket URL: <http://trac.sagemath.org/ticket/19296#comment:32>
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