[seqfan] Re: Sowing integers

[Lars Blomberg]

Correction:

For numbers below 100,000: 98999 has the longest loop = 223200
For numbers below 1,000,000: 799989 has the longest loop = 1534716
/LBg

-----Ursprungligt meddelande----- 
From: Lars Blomberg
Sent: Wednesday, September 12, 2012 8:13 AM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: Sowing integers

I also found that the longest loop below one million is 223200 for the
integer 98999.
/LBg

-----Ursprungligt meddelande----- 
From: David Scambler
Sent: Wednesday, September 12, 2012 6:49 AM
To: seqfan at list.seqfan.eu
Subject: [seqfan] Re: Sowing integers


> Maximilian wrote: " whether (or why) there cannot be some smaller "loop"
> in the orbit of some numbers such that the initial position would
> never be reproduced"

Indeed. I have unsuccessfully searched for short orbits in integers up to 1
million.
I am not sure when to stop searching and conjecture instead that there are
none.

The longest loop so far is 223200 for the integer 98999. Perhaps someone can
check this assertion.

dave



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