#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: N/A
Reviewer: | Merged:
Work_issues: |
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The -1 should not be here:
{{{
sage: sum(binomial(j,k),j,k,k+1)
k + 2
sage: sum(binomial(j,k),j,k,n)
binomial(n + 1, k + 1) - 1
sage: sum(binomial(j,k),j,k,n).subs({n:k+1})
binomial(k + 2, k + 1) - 1
sage: maxima_console()
;;; 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 5.20.1 http://maxima.sourceforge.net
using Lisp ECL 10.2.1
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/5.20.1/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) - 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(1, k + 1)
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10273>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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