Re: [math-fun] continued fractions for a/2^w with only small partial quotients

As a concrete non-Niederian example, 7640891563999686221/2^64 = [0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 2, 3, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2] which has only four "3"s. And 3412372167436023905/2^63 = [0; 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2] has 1&2's only.