Consecutive Integers with Same Euler Phi Value

Theorem
Let $\phi: \Z_{>0} \to \Z_{>0}$ be the Euler $\phi$ function, defined on the strictly positive integers.

The equation:
 * $\map \phi n = \map \phi {n + 1}$

is satisfied by integers in the sequence:
 * $1, 3, 15, 104, 164, 194, 255, 495, 584, 975, 2204, \ldots$