A359141 - OEIS (original) (raw)
A comment in [A058986](/A058986 "Sorting by prefix reversal (or "flipping pancakes"). You can only reverse segments that include the initial term of the curr...") implies that the terms are at most 2. Furthermore a zero term seems unlikely.
The initial terms consist of runs of 1, 2, 4, and 7 1's separated by 2's, which allows for a large number of extensions.