#18338: bell_polynomial(n,k) should always return a polynomial
-------------------------------------+-------------------------------------
       Reporter:  tmonteil           |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.7
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Thierry Monteil    |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/tmonteil/bell_polynomial_n_k__should_always_return_a_polynomial|  
c5281c075bf4e196aea84cafa2c54d119ee6cd7e
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by vdelecroix):

 * status:  needs_review => needs_work


Comment:

 This is ugly
 {{{#!diff
 - return result
 + return R(result)
 }}}
 Could you instead make it in such way that the coefficients belong to
 `ZZ`. With the current version you are intensively using coercion
 `ZZ[x0,x1,...] -> QQ[x0,x1,...]` for no good reasons. i.e. just use `//`
 instead of `/` here
 {{{
 coefficient = factorial(n) / (factorial_product * power_factorial_product)
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/18338#comment:8>
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