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Once upon a time, there was a curious mathematician named Friedrich. One day, while exploring a new area of mathematics, he stumbled upon an intriguing sequence of numbers: 0, 1, 2, 2, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7...

Friedrich was determined to figure out how this sequence was generated. He spent countless hours studying the pattern and experimenting with different formulas, but to no avail. Can you help our dear Friedrich?

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  • 1
    $\begingroup$ Nice first question! Did you create this yourself? $\endgroup$
    – bobble
    Commented Jan 27, 2023 at 23:52
  • 2
    $\begingroup$ is there a typo here? 0, 1, 2, 2, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7... $\endgroup$
    – AziMez
    Commented Jan 28, 2023 at 21:30
  • $\begingroup$ Time to add a hint? $\endgroup$
    – Techidiot
    Commented Mar 25, 2023 at 20:06

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