I was messing with the sine function and tried getting values close to zero with integer inputs. I found a peculiar pattern. If you take pi’s continued fraction and write them out as one whole fraction, and take the numerators, you get the sequence here: http://oeis.org/A046947. If you take the sin (radians) of this sequence, you get values very very close to zero. For example, if you take the last listed number on oeis, the sin is only -2*10^-14. Is there any reason as to why this happens?