Re: [math-fun] Canonical sequence of rational approximants to an irrational

Hi Dan and all, The sequences you describe are subsequences of the "Farey fraction" approximations. For example, see A006259 or A119015 for e. And, in turn, the denominators of the continued fraction convergents will be subsequences of your sequence, as for example A007677 for e. I would love to see your sequence in OEIS (and I hope the above gives you a little help with the cross-refs). --Joshua Zucker