Maybe they can, but what the human is able to do is examine the tower of Hanoi problem, and the derive the general rule for solving (odd or even number of disks).

Based upon that comprehension, we then need little working memory (tokens) to solve the problem, it just becomes tedious to execute the algorithm.. But the algorithm was derived after considering the first 3 or 4 cases.

Whereas for the moment, LLMS are just pattern matching; whereas we do the pattern match, then derive the generalised rule.