  In this work we study numerically one kind of generalization of the
Starobinsky inflationary model (power-law type), which is characterized by the
parameter $p$. In order to find the parameter $p$ that fixes with observations,
we compute the cosmological parameters $A_S$, $n_S$, and $r$ for several values
of $p\simeq 1$. We have found that the value of $p=1.0004$ reproduces the value
of $A_S$, $n_\sca$, and $r$ in agreement with current observational data.
