#9634: binomial does not accept variable when only in the lower argument
-------------------------+-------------------------------------------------
       Reporter:         |        Owner:  burcin
  Henryk.Trappmann       |       Status:  needs_work
           Type:         |    Milestone:  sage-6.2
  defect                 |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:  Ralf Stephan
  symbolics              |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  0b0e75ecb4eb41b505d0557af22059051513f946
  Burcin Erocal          |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/rws/ticket/9634      |
   Dependencies:         |
-------------------------+-------------------------------------------------

Old description:

> {{{
> sage: var('k')
> k
> sage: binomial(x,3)
> 1/6*(x - 2)*(x - 1)*x
> sage: binomial(3,k)
> ---------------------------------------------------------------------------
> TypeError: Either m or x-m must be an integer
> }}}
>
> From kcrisman:
> Is this a bug?  I would say yes, because
> {{{
> sage: binomial(x,k)
> binomial(x, k)
> }}}
> works, but maybe we want to have it be a specific integer if the top
> number is given?  Any input?
>
> Apply [attachment:trac_9634-symbolic_binomial.take2.patch]

New description:

 {{{
 sage: var('k')
 k
 sage: binomial(x,3)
 1/6*(x - 2)*(x - 1)*x
 sage: binomial(3,k)
 ---------------------------------------------------------------------------
 TypeError: Either m or x-m must be an integer
 }}}

 This is a bug since
 {{{
 sage: binomial(x,k)
 binomial(x, k)
 }}}
 works.

--

Comment (by jdemeyer):

 Replying to [comment:17 rws]:
 > Evidently he should have submitted the import cleanup separately.
 Indeed.

--
Ticket URL: <http://trac.sagemath.org/ticket/9634#comment:18>
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