Is there a power series generating function for Euler's totient function

is there a closed form for the expression $$\sum_{n \geq 1} \phi(n) x^n$$ ?

Everybody knows about the Dirichlet generating function for $$\phi$$ but I can't find anywhere the power series generating function of $$\phi$$

• doubt it ${}{}{}$ Nov 8 '19 at 0:16
• here is a related question.
– lulu
Nov 8 '19 at 0:17