Here (on the linked page below) is a very concise piece of pseudo code of the algorithm
I am giving the reference to the publicly linked page so as to avoid even the appearance of plagerism.

This explanation of the problem was not written by me but it is a short and clear telling of the Towers problem.
This pseudo code written by the original author of this page succinctly describes the steps needed to solve the problem.

https://www.cs.cmu.edu/~cburch/survey/recurse/hanoiimpl.html