In Norway we will have a new national mathematics curriculum for all ages including high school beginning august 2020. A fundamental change is the new focus on so called algorithmic thinking. In practice this means that we are going to add the use of Python to explore and solve mathematical problems.
Many of the examples we (teachers) have been exposed to in courses are simply traditional types of problems that are shoehorned into programming exercises, even though they would be easier to solve in a traditional way.
I think we need to modify our intuition for what kinds of mathematical problems that will become relevant in this new setting. But it is difficult to break out of old ways of thinking.
What I'm asking is, does anyone here know of (resources of) mathematical problems that are difficult to impossible to solve with "traditional school mathematics", but relatively easy to handle with programming (even Excel)?