#17157: Improve formula for Bell numbers
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       Reporter:  jdemeyer           |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.4
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jeroen Demeyer     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jdemeyer/ticket/17157            |  0266cef42895b095b8c7eca5718a1466300e1304
   Dependencies:                     |     Stopgaps:
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Comment (by fredrik.johansson):

 Which reminds me that flint is missing two tricks: firstly, batch
 computing all the powers {{{1^n, 3^n, 5^n, ..., N^n}}} using sieving (one
 multiplication for every odd index, then one shift for every even index),
 and secondly, only working with approximate values of the powers near the
 end of that list.

 The first trick would use much more memory, of course, but that's fine as
 one can fall back to the multimodular algorithm for very large n anyway.

--
Ticket URL: <http://trac.sagemath.org/ticket/17157#comment:11>
Sage <http://www.sagemath.org>
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