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We show that the A-polynomial $A_n$ of the 1-parameter family of pretzelknots $K_n=(-2,3,3+2n)$ satisfies a linear recursion relation of order 4 withexplicit constant coefficients and initial conditions. Our proof combinesresults of Tamura-Yokota and the second author. As a corollary, we show thatthe $A$-polynomial of $K_n$ and the mirror of $K_{-n}$ are related by anexplicit $\GL(2,\BZ)$ action. We leave open the question of whether or not thisaction lifts to the quantum level.

The $A$-polynomial of the $(-2,3,3+2n)$ pretzel knots