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Numerical analysis of the first several hundred n suggests the following inequality:
$\varphi(3^n-2) > 2\cdot3^{n-1}$$\varphi(3^n-2) \ge 2\cdot3^{n-1}$
$\varphi(3^n-2) > 2\cdot3^{n-1}$
$\varphi(3^n-2) \ge 2\cdot3^{n-1}$
