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This sequence is the result of 3 functions one after the other. These functions are:

squared, add 2, minus 1.

So 1 squared = 1, +2 = 3, -1 = 2, squared = 4, +2 = 6, -1 = 5, squared = 25....

So the next step would be +2 to get 27, then minus 1 to get 26.

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