On Jul 28, 2:21 am, kcrisman <kcris...@gmail.com> wrote:
> On Jul 27, 1:17 am, Henryk Trappmann <bo198...@googlemail.com> wrote:
> > sage: sum(binomial(n,k)*binomial(k-1,j)*(-1)**(k-1-j),k,j+1,n)
> In fact, the answer appears to always be 1 or 0.  Is that true?

Yes, its 1 for n>=j+1 and (of course) 0 for n<j+1

I discovered another small issue with the binomial:
sage: binomial(0.5r,5)
---------------------------------------------------------------------------
AttributeError                            Traceback (most recent call
last)

/home/bo198214/projects/<ipython console> in <module>()

/opt/sage-4.5-linux-32bit-ubuntu_10.04_lts-i686-Linux/local/lib/
python2.6/site-packages/sage/rings/arith.pyc in binomial(x, m)
   2887     if isinstance(x, (float, sage.rings.real_mpfr.RealNumber,
   2888                       sage.rings.real_mpfr.RealLiteral)):
-> 2889         P = x.parent()
   2890         if m < 0:
   2891             return P(0)

AttributeError: 'float' object has no attribute 'parent'

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