One of three of a kind - Part (3) - Final

$\Large \prod_{n=1}^{\infty} \left(1-\frac{1}{\phi^n}\right)^{[\mu(n)-\varphi(n)]/n}$

What is the value of the product above?

Note: $$\varphi$$ is the Euler totient function, $$\mu$$ is the Moebius function, and $$\phi = \dfrac{1+\sqrt5}{2}$$ is the golden ratio.

Part 1 and Part 2.

×