computer finally found two non-Niederian a for denominator 2^64: decimal & hexadecimal: a=10654159919517510743=93db2dffa70bac57 a=10696476009480716135=947184421d95ff67 in both cases a/2^64 has all partial quotients <=2. On Mon, Jan 25, 2016 at 11:32 AM, Warren D Smith <warren.wds@gmail.com> wrote:
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.
-- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step)