oeiswhack: enter a short, meaningful, sequence of integers into oeis.org, returning no results.

I think this is probably the best oeiswhack I'm ever going to get

Here's what it means:

I have a process that begins by picking a number N, and totting up a total T that begins at 0.
Repeatedly do this:

* add N to T
* if N divides T, add 1 to N, otherwise subtract 1
* if N is 1, stop

I searched for N where the process stops

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