infinite non-repeating sequence

We have a recursive function which generates infinite non-repeating sequence of numbers

infinite non-repeating sequence

expression for the function

expression for the function

the function has been demonstrated here

view live example

infinite non-repeating sequence

real life examples

Pi

Pi to first 50 digits is 3.1415926535897932384626433832
7950288419716939937510

This continues forever and never repeats

Source

TheAbbie infinite non-repeating sequence

TheAbbie infinite non-repeating sequence

3blue1brown

3blue1brown