#14247: bell numbers in mpmath is incorrect
-----------------------------+----------------------------------------------
   Reporter:  tscrim         |             Owner:  sage-combinat
       Type:  defect         |            Status:  new          
   Priority:  major          |         Milestone:  sage-5.9     
  Component:  combinatorics  |          Keywords:               
Work issues:                 |   Report Upstream:  N/A          
  Reviewers:                 |           Authors:               
  Merged in:                 |      Dependencies:  #10170       
   Stopgaps:                 |  
-----------------------------+----------------------------------------------
 With #10170, for at least `n >= 30`, mpmath's `bell(n)` is incorrect:
 {{{
 sage: bell_number(30, 'mpmath')
 846749014511809388871680
 sage: bell_number(30, 'gap')
 846749014511809332450147
 }}}
 The GAP implementation is the correct one (it agrees with OEIS and the
 implementation in #10170 for `n > 200`). I don't know if this is a me
 (i.e. this is fixed in an upgrade of mpmath not yet merged as of
 `5.8.beta1`), sage, or an mpmath issue.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14247>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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