  The double well oscillator is used as a QCD-like model for studying the
relationship between large order graphs and the instanton-antiinstanton
solution. We derive an equation for the perturbative coefficients of the ground
state energy when the number of 3 and/or 4-vertices is fixed and large. These
coefficients are determined in terms of an exact``bounce'' solution. When the
number of 4-vertices is analytically continued to be near the negative of half
the number of 3-vertices the bounce solution approaches the
instanton-antiinstanton solution and detremines leading Borel singularity.
