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What are the numbers in the question marks?

0, 1, 2, ?, 5, 6, 8, ?, 40, 46, 60, ?, 84

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I have a theory that

These are numbers that, spelled out in English, have no duplicate letters.

This way

The first question mark would be FOUR (since THREE has 2 E's), the second one - TEN (NINE, ELEVEN, TWELVE, *TEEN, TWENTY * and THIRTY * are out).

But I'm confused by the 3rd question mark, as

There are multiple numbers between 60 and 84 that can be spelled without duplicate letters: SIXTY ONE, SIXTY FOUR and EIGHTY itself. I'm not sure how to pick just one of them...

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    $\begingroup$ Yeah, I found this pattern after searching it up on the OEIS, also with both 61 and 64 being between 60 and 84. I would take a random guess that the question asker accidentally wrote SIXTY as SIXETY, and 64 would be the correct answer, but that could be wrong. $\endgroup$ Mar 8 at 5:24

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