Copy as Input Text via Function

I've got some code which generates a series with coefficients that are a rather complicated expressions of Greek letters with subscripts. I want to store some of these coefficients for future use, rather than computing them each time I run my program.

What I would like, is to store each coefficient as if I had used the "Copy As" -> "Input Text" functionality which you get when right clicking on a specific cell. And I would like to do this via the Export[] function rather than doing it for each coefficient manually. Does anyone know how to do this so that, in particular, the Greek letters are exported as $\backslash[\text{Rho}]$ as opposed to $\rho$. "Copy As" -> "Input Text" does this, but Export[] gives the formatted $\rho$, which causes problems on import.