What are the next three numbers for this pattern 2 4 8 14 22?

The differences between the values are 2, 4, 6, 8

The differences between these differences are 2, 2, 2

Thus the pattern's equation starts n2

The pattern minus n2 is 1, 0, -1, -2, -3

The difference between these values is -1

Thus the equation continues n2-n+2

This equation gives us 2, 4, 8, 14, 22, 32, 44, 58, 74...