[nvlled]

A side thought, how would a natural number sequence of hypotenuses that satisfies the equation a^2 + b^2 = c^2 look like? Or what interesting properties would it have if any.

[Joker_vD]

You mean, what does sequence A004431 [0] look like? Well, like itself. Some of its properties are also listed at that link.

[0] https://oeis.org/A004431