If all you offer is part of a pattern and ask us to complete, then, from an academic point of view, I have to say that there are infinitely many possible such sequences (the cardinality is equal to that of the set of real numbers, or aleph-1), and that they are all equally valid.
Describe the previous number...
1
one one
two ones
one two, one one
one one, one two, two ones
three ones, two twos, one one
one three, one one, two twos, two ones,etc.
Final number describes the previous number
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