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 $psimeq 1$. 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.
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