[seqfan] A293355

Hans Havermann gladhobo at bell.net
Sun Oct 8 04:58:38 CEST 2017


Infinitary aliquot sequence starting at 6216. Without really understanding the details of infinitary aliquot sequences, I was nevertheless charting the unknown lengths (less than 10000) of A127661 using the Mathematica code provided therein. I eventually determined that there were 12 primary unknowns with an additional 349 merging into them. I graphed those 12 evolutions here:


You may have to click on it to see the graphs full size. The 7th one down is 6216. You can understand why I wanted to submit the sequence. Unlike the other 11 it appears that it might be provably infinite! Starting at a(22) the terms to a(250) are monotonically increasing and divisible by 120. Perhaps someone here can figure this out.

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