[seqfan] Re: Binary Complement Sequences

[Joshua Searle (larry)]

[Tom Duff]
> And it just finished! 425720 takes 87,037,147,316 steps to converge to 0.
> (Or my  computer glitched, or I have a bug. I seriously doubt the latter,
> because all my other results match what others have reported.)

> I didn't expect this. I really thought it would diverge. This seriously
> indicates that it invariably converges to zero. That, not the computation
> of more values, is the front on which we need progress, now.

> It took 684803 seconds (190 hours or 7.9 days) to count to 87037147316.
> That's 127098 iterations per second, or 7.868 microseconds per iteration.


Nice work! I was in the opposite camp and did think it would go back to 0 :) I agree that further computation would really only be for curiosity’s sake at this point, there is plenty of data (there is also the issue of computers/algorithms being able to calculate further terms!)

Joshua