On Sun, Mar 11, 2012 at 6:33 PM, Neil Sloane <njasloane@gmail.com> wrote:
14 -> 5 -> 9 -> 14 -> 5 -> 9 -> ...
5 is the only number common to the trajectories of the numbers 1 through 99
Ah. I was thinking of it as a sequence of digits, rather than a sequence of numbers, which is why I had 1 and 4 as well as 5 in my list of digits that are always reached. Andy
Neil
On Sun, Mar 11, 2012 at 5:38 PM, Andy Latto <andy.latto@pobox.com> wrote:
On Sun, Mar 11, 2012 at 2:55 PM, Neil Sloane <njasloane@gmail.com> wrote:
Eric, Very nice! I just added A209674, which is the number of steps to reach 5. Neil
Every number also reaches 4, and 1, as well as 5. Any reason the time to reach 5 is the thing that seems interesting, rather than the time to reach 1 or 4?
I think everything ultimately ends up in one of two cycles: 358134711235 or 459145. Isn't the time to reach a cycle really the interesting thing, rather than the time to reach the 5 in the cycle?
Andy
On Sun, Mar 11, 2012 at 2:23 PM, Eric Angelini <Eric.Angelini@kntv.be wrote:
Start sequence S with any integer. If a(n) is the sum of the last two digits of S, S will always hit 5 at some point. Best, É.
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