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We analyze the one parameter family of tronqu\'ee solutions of the Painlev\'eequation \P1 in the pole-free sectors together with the region of the firstarray of poles. We find a convergent expansion for these solutions, containingone free parameter multiplying exponentially small corrections to the Borelsummed power series. We link the position of the poles in the first array tothe free parameter, and find the asymptotic expansion of the pole positions inthis first array (in inverse powers of the independent variable). We show thatthe tritronqu\'ees are given by the condition that the parameter be zero. Weshow how this analysis in conjunction with the asymptotic study of the polesector of the tritronqu\'ee in \cite{inprep} leads to a closed form expressionfor the Stokes multiplier directly from the Painlev\'e property, not relying onisomonodromic or related type of results.

Tronqu\'ee solutions of the Painlev\'e equation \P1