The sequence you provided is:
$2, 1, 2, 10, 1, 2, 3, 4, 7, 7, 1, 3$

It doesn't immediately correspond to a common arithmetic or geometric sequence. However, based on an initial examination, this could be either a non-standard sequence (perhaps generated by a custom rule or pattern) or a combination of smaller sequences.

Observations:

1. Repetition: There are repetitions in the numbers, such as the occurrences of "1" and "2" several times.
2. Inconsistent differences: The difference between successive terms isn't consistent, ruling out an arithmetic progression.
3. No multiplicative relationship: Similarly, the sequence doesn't follow a clear geometric progression.

Possible Patterns:

• Piecewise sequence: It could be a combination of different subsequences with separate rules governing them.
• A recursive sequence: There may be a recursive or context-specific rule generating the numbers, but more information would be needed to deduce this.
• Custom pattern: It's possible that this is a sequence based on a specific logic or puzzle, rather than a classical mathematical form.

To help you further analyze this, do you have any more context or rules governing the sequence?

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Here are 5 questions to explore more about this sequence:

1. Are there any known rules or transformations that generate this sequence?
2. Could this be a puzzle or game-related sequence, with special meanings for specific positions?
3. Does the sequence repeat after a certain point, and if so, what is the repeating block?
4. Can we explore smaller subsequences within the larger set that might follow simpler patterns?
5. Could the sequence be related to a combinatorial or statistical pattern?

Tip: When analyzing a sequence, always check for both global patterns (e.g., differences, ratios) and local patterns (e.g., repetitions, subsequences).