[math-fun] curious dyadic rationals t/b, b=2^f, t=sum of few +-2^e, ContinuedFraction(t/b) has 1's and 2's only

Hum, interesting but what is t ? what type of number is it ? what is the rule for t ? Simon Plouffe

--well, I'd like to know that myself... I do not have a full explanation/understanding for what is going on here... However, I observe the following pattern for the particular t that I gave: t = 101000100000000111111111111111100000000000000000000000000000001(binary) note the "gap sizes" between the 1's (or -1's) are 1, 3, 7, 15, 31 a sequence I'm sure you recognize. -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step)