You can use your schematic.
However, based on my recommendation, I suggest you to parallel the Resistor (R). Refer to picture below (sorry for my ugly drawing... 😂 😂):
1.When Input switched on the capacitor voltage is zero, thus the output is HIGH.
- The high output voltage will start to charge C via R.
- When the capacitor reach the higher threshold the inverter sees this as high voltage and the output will go LOW
2.When output is LOW:
- The capacitor will now start discharge to the low output through R.
- When the capacitor reach the lower threshold the inverter sees this as low voltage and the output will go HIGH.
3.The capacitor will start charge again and the whole thing repeats.
I hope this will help.