#19296: Generating function in FindStat interface
-------------------------------------+-------------------------------------
       Reporter:  stumpc5            |        Owner:
           Type:  enhancement        |       Status:  needs_review
       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 mantepse):

 The html now looks almost fine, with the exception of the link to
 {{{OEIS.find_by_description()}}}, which does not work.

 There is another, less minor thing: {{{generating_functions}}} currently
 only works for queries that yield statistics, i.e., of the form
 {{{findstat(number)}}}:
 {{{
 sage: s=findstat("Permutations", number_of_alignments); s
 0: (St000222: The number of alignments of a permutation, [], 200)
 sage: s.generating_functions()
 ...
 AttributeError: 'FindStatStatistic' object has no attribute
 '_generating_function'

 sage: s[0][0].generating_functions()
 {2: 2,
  3: 3*q + 3,
  4: 12*q^2 + 8*q + 4,
  5: 20*q^4 + 45*q^3 + 35*q^2 + 15*q + 5,
  6: 100*q^6 + 180*q^5 + 198*q^4 + 140*q^3 + 72*q^2 + 24*q + 6}
 }}}

 While this is as expected, I think it shouldn't be that way.  In
 particular, if possible it would be nice to be able to use
 {{{oeis_search}}} even for new statistics.

 Of course, this requires that the generating function is computed by the
 sage interface, and not retrieved from findstat.org.

 I'll try to propose a patch shortly.

--
Ticket URL: <http://trac.sagemath.org/ticket/19296#comment:29>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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