rkg:
The numbers in parens show the numbers of terms between 50000000and 10^8. The rate of growth of these sequences suggests that there are likely an inf no of mutually indep seqs.
Dumb heuristics and brief numerical experimentation point to the sequences growing as around e^sqrt(n). For random sequences of about that rate of growth, you'd expect them to intersect when they are small if at all; once they get over, say, e^10 (about 22000), there would be about a 2% chance of an intersection. But it would take more thinking than I have available to make a guess at the rate of growth of the minimal starting terms for independent ones... --Michael Kleber -- It is very dark and after 2000. If you continue you are likely to be eaten by a bleen.