#18709: closed forms of C-finite sequences
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       Reporter:  rws                |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  commutative        |   Resolution:
  algebra                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Ralf Stephan       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  f643cb401dec648fe0bc601573a5b019d58676ea
  u/rws/closed_forms_of_c_finite_sequences|     Stopgaps:
   Dependencies:                     |
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Comment (by rws):

 Vincent, you probably read the word `fibonacci`, but did you notice that
 in `binary_recurrence_sequences.py` only a small part of C-finite
 sequences is treated, ie those of degree 2? Have you noticed that our
 implementation can guess a sequence from the numbers? And with this ticket
 you get a closed form for immediate and fast evaluation of any binary or
 other recurrence.

 As to your question about the ring of C-finite sequences I refer you to
 {{{
 .. [Z11] Zeilberger, Doron. "The C-finite ansatz." The Ramanujan Journal
    (2011): 1-10.
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/18709#comment:5>
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