$\begingroup$ and 8, 5, 4, 9, 1, 7, 6, 3, 2, 0


The first sequence is

the number of letters in each number in ascending order from one. For example, 'one' has 3 letters, 'two' also has three letters, 'three' has five letters, and so on.

The second sequence is

the numbers between 0 and 10 in alphabetical order, when spelt out in English. That is, 'eight' comes before 'five', 'four', and so on. 'Zero' is the last number alphabetically.

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