  Lecomte and Ovsienko constructed $SL_{n+1}(R)$-equivariant quantization maps
$Q_\lambda$ for symbols of differential operators on $\lambda$-densities on
$\RP^n$.
  We derive some formulas for the associated graded equivariant star products
$star_\lambda$ on the symbol algebra $Pol(T*\RP^n)$. These give some measure of
the failure of locality.
  Our main result expresses (for $n$ odd) the coefficients $C_p$ of
$star_\lambda$ when $\lambda=\half$ in terms of some new
$SL_{n+1}(C)$-invariant algebraic bidifferential operators $Z_p$ on $T*\CP^n$
and the operators $(E+\frac{n}{2}\pm s)^{-1}$ where $E$ is the fiberwise Euler
vector field and $s\in\{1,2,...,[\frac{p}{2}]\}$.
