MathGroup Archive 2006

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: sum of binomials .. bug ?


There is not a bug at all.
Be more careful before accused Mathematica of bugging.
I do not say that it is panacea but Most of the cases when
someone thinks he encountered a bug the fault is due to him.

Any way for your case the following will demonstrate that indded
there is no bug. (Everything is in InputForm).

Quit

f[k_] := Sum[Binomial[21 - k, i], {i, 0, 10 - k}]

Trace[f[3], Binomial]
{{HoldForm[Binomial[18, 0]], HoldForm[1]}, {HoldForm[Binomial[18, 1]],
HoldForm[18]}, {HoldForm[Binomial[18, 2]], HoldForm[153]},
{HoldForm[Binomial[18, 3]], HoldForm[816]}, {HoldForm[Binomial[18, 4]],

HoldForm[3060]}, {HoldForm[Binomial[18, 5]], HoldForm[8568]},
{HoldForm[Binomial[18, 6]], HoldForm[18564]},
{HoldForm[Binomial[18, 7]], HoldForm[31824]}}

Trace[f[x] /. x -> 3]

{{HoldForm[f[x]], HoldForm[Sum[Binomial[21 - x, i], {i, 0, 10 - x}]],
 HoldForm[2^(21 - x)]}, HoldForm[2^(21 - x) /. x -> 3], HoldForm[2^(21
- 3)],
{{HoldForm[-3], HoldForm[-3]}, HoldForm[21 - 3], HoldForm[18]},
HoldForm[2^18],
HoldForm[262144]}

g[k_] = Sum[Binomial[21 - k, i], {i, 0, 10 - k}]
2^(21 - k)

g[3]
262144

g[x] /. x -> 3
262144


  • Prev by Date: Re: save value in array during loop
  • Next by Date: Re: save value in array during loop
  • Previous by thread: Re: sum of binomials .. bug ?
  • Next by thread: Re: sum of binomials .. bug ?