#15714: implement CFiniteSequence
-------------------------------------+-------------------------------------
       Reporter:  rws                |        Owner:  rws
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  combinatorics      |   Resolution:
       Keywords:  recurrence,        |    Merged in:
  sequence, ogf                      |    Reviewers:
        Authors:  Ralf Stephan       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  38dd6d0148e92c45dceafcf75f9685b7adec2708
  u/rws/ticket/15714                 |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Description changed by rws:

Old description:

> The upcoming inclusion of ore_algebra will provide the means for a
> PFiniteSequence class. Nevertheless a lightweight implementation of
> CFiniteSequence has its place in Sage, and it is available now.
>
> The interface:
> *constructed from generating function or recurrence
> *guessed from sequence
> *provides gf, recurrence, sequence, so practically a conversion between
> all three
> *other services: textual description of recurrence, sequence iterator
>
> Possible extensions, not implemented: output of egf, power sum closed
> form

New description:

 The upcoming inclusion of ore_algebra will provide the means for a
 PFiniteSequence class. Nevertheless a lightweight implementation of
 CFiniteSequence has its place in Sage, and it is available now.

 The interface:
 * constructed from generating function or recurrence
 * guessed from sequence
 * provides gf, recurrence, sequence, so practically a conversion between
 all three
 * other: textual description of recurrence, sequence iterator

 Possible extensions, not implemented: output of egf, power sum closed form

--

--
Ticket URL: <http://trac.sagemath.org/ticket/15714#comment:21>
Sage <http://www.sagemath.org>
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