  A remarkable result of McShane states that for a punctured torus with a
complete finite volume hyperbolic metric we have \[ \sum_{\gamma}
\frac{1}{e^{\ell(\gamma)}+1}={1/2} \] where $\gamma$ varies over the homotopy
classes of essential simple closed curves and $\ell(\gamma)$ is the length of
the geodesic representative of $\gamma$.
  We prove that there is no reasonable analogue of McShane's identity for the
Culler-Vogtmann outer space of a free group.
