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It appears that the number sequence is like this:

The first two numbers are the same, 1 1, then they go up by two, 1 1 (3) and down by one 1 1 3 (2), then up again by two, 1 1 3 2 (4) and again by two, 1 1 3 2 4 (6) we then see down by one again, 1 1 3 2 4 6 (5) and now up by twenty 1 1 3 2 4 6 5 25.

After the number stops, it's suppose to start over again,

25 25 27 26 28 30 29 49

Though in some cases the number sequence may be written...

1 1 3 2 4 6 5 25 25 27 26 28 30 29 49

Also could be written as:

2 2 4 3 5 7 6 26

3 3 5 4 6 8 7 27
* * * * *


There are infinitely many possible rules that will generate this sequence. It is possible to fit a polynomial of order 7 that will fit these 8 values.

A simpler rule seems to apply her, though and that is a loop of three operations: {square, +2, -1}


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Q: What is the number sequence to 1 1 3 2 4 6 5 25?
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