My goal is to have 60 5mm leds in a circle and have them go on sequentially ,staying lit for one full minute and then turning off and cycling to the next one.
The Arduino Mega has 54 pins so I need to add a multiplexer or a shift register for the addional six. I have no experience with either but am willing to dig through the weeds to figure it out.
I would just like to start off in the right direction to hopefully make it easier, Thanks.
The 74HC595 is a common shift register for LEDs, or the TIPC6B595 if you need more current, but the addressable LEDs suggested before are generally a simpler choice. Either way, the Mega is not needed, a Nano/UNO can easily drive that many LEDs with shift registers/addressable LEDs.
If you are certain you only ever need one LED on at a time, then a common resistor could be used for all the LEDs. That way, if they all get turned on the current will not be excessive.
With only a single LED at a time, you can also wire them as a grid and only need 16 outputs (for an 8x8 grid).