#10273: Maxima returns wrong value for sum(binomial(j,k),j,k,n)
-------------------------+--------------------------------------------------
   Reporter:  jpflori    |       Owner:  burcin                                 
   
       Type:  defect     |      Status:  new                                    
   
   Priority:  major      |   Milestone:                                         
   
  Component:  symbolics  |    Keywords:                                         
   
     Author:             |    Upstream:  Fixed upstream, in a later stable 
release.
   Reviewer:             |      Merged:                                         
   
Work_issues:             |  
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Changes (by jpflori):

  * upstream:  N/A => Fixed upstream, in a later stable release.


Comment:

 I just tested it with Maxima 5.22.1 and Ecl from #10187 and the result is
 now correct.
 So updating to that version will fix this problem.

 {{{
 sage: maxima_console()
 ;;; Loading #P"/home/jp/boulot/sage/sage-4.6/local/lib/ecl/sb-bsd-
 sockets.fas"
 ;;; Loading #P"/home/jp/boulot/sage/sage-4.6/local/lib/ecl/sockets.fas"
 ;;; Loading #P"/home/jp/boulot/sage/sage-4.6/local/lib/ecl/defsystem.fas"
 ;;; Loading #P"/home/jp/boulot/sage/sage-4.6/local/lib/ecl/cmp.fas"
 ;;; Loading #P"/home/jp/boulot/sage/sage-4.6/local/lib/ecl/sysfun.lsp"
 Maxima 5.22.1 http://maxima.sourceforge.net
 using Lisp ECL 10.4.1
 Distributed under the GNU Public License. See the file COPYING.
 Dedicated to the memory of William Schelter.
 The function bug_report() provides bug reporting information.
 (%i1) load("simplify_sum");

 (%o1)
 /home/jp/boulot/sage/sage-4.6/local/share/maxima/5.22.1/share/contrib/so\
 lve_rec/simplify_sum.mac
 (%i2) sum(binomial(j,k),j,k,n);

                               n
                              ====
                              \
 (%o2)                         >    binomial(j, k)
                              /
                              ====
                              j = k
 (%i3) simplify_sum(%);

 (%o3)                       binomial(n + 1, k + 1)
 (%i4) sum(binomial(j,k),j,0,n);

                               n
                              ====
                              \
 (%o4)                         >    binomial(j, k)
                              /
                              ====
                              j = 0
 (%i5) simplify_sum(%);

 (%o5)             binomial(n + 1, k + 1) - binomial(0, k + 1)
 sage: x,y,z=var('x,y,z')
 sage: i,j,k,n,m,d=var('i,j,k,n,m,d')
 sage: sum(binomial(j,k),j,k,n)
 binomial(n + 1, k + 1)
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10273#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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